Double those figures to get its diameter: 2,159.2 miles (3,475 km), less . The circumference of a circle is the linear distance of the circle's edge. (Xis 36 inches.) This decreases by the cosine of your latitude so that at a latitude of 45 degrees, cos(45) = .707 and the speed is .707 x 1670 = 1180 kilometers/hr. In the earth's meridian circumference … there are 129,600,000 Greek feet. Riddle Solutions | Solution to Long Belt Riddle How big is Earth? | Space The length of one stadia is not exactly known, but it is thought to be between 515 and 686 feet. if there are 5,280 feet in a mile, about how many miles is the circumference of the earth? The circumference of the earth is approximately 1.31 x 108 feet. Sacred Geometry - Natural Earth Measures & British ... Pre-calc. Today, we know that the equatorial circumference of Earth is 40,075.017 km (24,901.461 mi). Answer to Puzzle #41: Rope around the earth, add 3 feet C = Circle circumference; π = Pi = 3.14159… Circumference of Circle. Provided this information, what is the circumference of the Earth? Find the circumference of the watch face. In relation to the base unit of [length] => (meters), 1 Feet (ft) is equal to 0.3048 meters, while 1 Earth Circumference (Ec) = 40000000 meters. However, from pole to pole — the meridional circumference — Earth is only 24,860 miles (40,008 km). In an interview a bit less than 6 would be sufficient. The circumference of a circle is 2pi(r), or for the earth, 132,700,000 feet. The flattened spherical nature of Earth is reflected in terms of its equatorial and meridional circumference. If the diameter is given instead, first divide it by two, then repeat the above process. the circumference of the Earth at that latitude divided by 16.36363636+ b. this 'feet per sec', divided by 2.715095129+, produces a number which is 1/10th of the inscribed square in Miles, at that latitude. ≈ 22 — 7 . A car is moving at the rate of 60 miles per hour, and the diameter of its wheels is 2.5 feet (1 mile=5280 feet) a) Find the angular speed of the wheels in radians per minute b) Find the number of revolutions per minute the wheels d = 12,742km. If you are adding 1 foot to your radius, you are adding making the circle bigger. This is also known as the longest chord of the circle. Using those measurements, the equatorial circumference of Earth is about 24,901 miles (40,075 km). From even 14,000 feet up, the curvature of the Earth is totally indistinguishable from flat. ≈ 2 ⋅ 3.14 ⋅ 5 Substitute 3.14 for π and 5 for r. = 31.4 Multiply. Use 22 — 7 for . We all know that C = πd, and here the diameter i.e. So, the Earth circumference is C 1 = 2 π R 1 and the string's circumference is C 2 = 2 π R 2 . It is calculated just by multiplying the diameter of the circle with π value. The mean radius of Earth is 6,371.0 kilometers and the mean radius of Earth's Moon is 1,737.5 kilometers. A sphere is a set of points in three dimensional space that are located at . We assume the Earth is a sphere and we live at the equator. Measurement of Earth's circumference has been important to navigation since ancient times. Of course that's because the claim is incorrect. By wrapping a string around the basketball ten times (or wrapping it around the ball once and using that To use his calculation you just square the mileage and multiply by 8. Both of these values are very close to the accepted modern values for the Earth's circumference and radius, 40,070 km and 6378 km respectively, which have since been measured by orbiting spacecraft. Possible explanation: There are 12 inches in 1 foot. Find the circumference of the fl ying disc. the very first calculation of the circumference of the Earth — dating to the 3rd Century B.C . ! Divide again by pi to get the Earth's radius - 6,370km. That's not a globe, it's a slope. Circle B is bigger. 1,296,000 is the number of seconds in the 360 degrees of a circle… Enter the circumference which is the total length of the edge around the circle, if it was straightened out. In 200 B.C. The radius of the Earth (R) is 3963.19 statute miles or, more importantly for us, 20925643.2 feet. Strabo and Pliny indicated 700 stadia for a degree which gives 252,000 stadia for the circumference of the Earth. Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). What is the circumference of a circle with a diameter of 20 ft? The radius of the earth is about 4000 miles. Ancient Units of Length. The diameter of a circle is known as the straight line segment which passes through the center of the circle. There are some differences of opinion about the unit of length that Eratosthenes used to approximate the circumference of the earth. In 240 B.C., the Greek astronomer Eratosthenes made the first good measurement of the size of Earth.By noting the angles of shadows in two cities on the Summer Solstice, and by performing the right calculations using his knowledge of geometry and the distance between the cities, Eratosthenes was able to make a remarkably accurate calculation of the circumference of Earth. That itself is said to not to be accurate over long distances After adding 20 feet, the length of the rope is 131473390.5 + 20 = 131473410.5 feet. Apart from the biological improbability of walking nonstop for more than 8,000 hours, the . An arc is a portion or fraction of a circle's or sphere's circumference. Circumference Circumference is the distance around a circle or sphere. For instance, at precisely 36 degrees Geodetic Latitude the Earth has a Transverse Radius of Curvature of 6385.525666 km. The diameter of a circle is the straight line passing through the center of the circle. Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). The circumference of the Earth is 40,075 km, and the Greek geographer Erastosthenes was the first person to estimate the Earth's circumference nearly accurately. Using the above calculations, it's easy to solve the circumference of the Earth! Random LENGTH units roman actus earth to moon distance lunar distance myriameters kiloparsecs greek stadion parsecs thou hvats yoctometers (Feet) to (Earth Circumference) conversions 44 (ft) to (Ec) This is the distance around the equator of the Earth. At the equator, the circumference of the Earth is 40,070 kilometers, and the day is 24 hours long so the speed is 1670 kilometers/hour ( 1037 miles/hr). is credited as the first person to try and calculate the size of the Earth by determining its circumference (the length around the equator) He estimated this distance to be 400,000 stades (a stadia is a Greek measurement equaling about 600 feet). knew how to measure circumference. Answers vary. The Earth's radius (r) is 6371 km or 3959 miles, based on numbers from Wikipedia, which gives a circumference (c) of c = 2 * π * r = 40 030 km We wish to find the height (h) which is the drop in curvature over the distance (d) Using the circumference we find that 1 kilometer has the angle 360° / 40 030 km = 0.009°. Earth's moon is the fifth largest moon in the solar system. .000027410˚ = .000000478 radians (the ratio of the described arc to the circumference of the earth's circumference expressed in feet) The point is, if my perceptions and calculations are correct, then when expressed rounded to 5 digits, the tan and radians are not separable, or, this as an instance when 100 feet is not even a prick. the very first calculation of the circumference of the Earth — dating to the 3rd Century B.C . Multiply 6385.525666 x ½ = 5,165.99878 km. In other words, if you could drive your car around the equator of the Earth (yes,. This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R ⊕. If Eratosthenes used the Olympic stadion of 176.4 meters (579 feet), which would imply a circumference of 44,100 km, an error of 10%. Circumference of the Earth at the Equator = 40,000 kilometers Time to complete one Rotation = 24 hours. Use this easy and mobile-friendly calculator to compute the circumference of a circle given its diameter. Convert 250,000 stadia to feet. Eratosthenes was able to calculate the circumference of the Earth to be 250,000 stadia. Variation in Eratosthenes' estimates based on stade length Regardless, he calculated the size of the earth to within an order of magnitude and possibly got very close. The equatorial circumference of the Earth is 40,075 km. Measured around the Equator, it is 40,075.017 km (24,901.461 mi). The diameter of a circle is twice the radius, giving us a diameter for Earth of 12,756 km. According to this RE chart, a circumference of 20,000km is approximately 3,300km to the north pole. NASA To Launch 4 Earth Science Missions in 2022 The new system improves NASA's capabilities to assess the impact risk of asteroids that can come close to our planet. b. How to calculate the circumference of the Earth By drawing a circle and measuring its diameter and circumference. Let's call Earth's radius "R," measured in feet. This online calculator will calculate the 3 unknown values of a sphere given any 1 known variable including radius r, surface area A, volume V and circumference C. It will also give the answers for volume, surface area and circumference in terms of PI π. That is truly a "cosmic" coincidence !! Answers: 1 Show answers Another question on Mathematics. Circumference or perimeter of a circle is defined as the distance around it. Mathematics, 21.06.2019 13:00. When it comes to measurements from pole-to-pole, or along the meridian line, the Earth has a circumference of 24.859.73 mi / 40.007.86 km. Round your answer to the nearest tenth of a kilometer. NASA will launch four Earth science missions in 2022 to provide scientists with more information about fundamental climate systems. For example, the circumference of a circle with a radius of 4 inches is simply 2 x 3.14159 x 4 = 25.13 inches. However, the Earth is not quite a perfect circle, and if you measure through the poles, the circumference is a bit shorter—24,859.82 miles. The Greek philosopher Aristotle (384-322 B.C.) It will take a man, walking in a steady and uninterrupted pace of 3 miles per hour (mph), to walk one complete circuit around the entire equatorial circumference of the Earth in 8,300.33 hours. This online diameter to circumference converter helps you to find the perimeter value from the given diameter at desired units. The diameter of the earth at the equator is 41851443 feet, or 12,756.32 kilometers or 7,926.41 miles. Since we know circumference and diameter are related by π, we can use π to find diameter if we know circumference. (1.31 * 10^8) / (5.28 * 10^3)= 0.2481 * 10^5= 2.48 * 10^4= 24,810 miles approximately The circumference of the Earth is approximately 1.31 x 108 feet. Similarly, 2 π feet is .000000047 of the circumference of the Earth (which is about 131,000,000 feet). The circle is the circumference of the Earth. bolno 1. And, unsurprisingly, the ratio of 1 foot to the Earth's radius is the same as that of 2 π feet to the Earth's circumference. If we put a 20,000km circle on the FE map, using the formula r=C/pi/2, where r is the radius, or distance to the north pole and C is the circumference of the circle, we get approximately 3,200km. The circumference is about 31.4 inches. The velocity is the distance traveled divided by the time needed to travel that distance. Radius of Circle. The new circumference would be 1 foot away from the old circumference. The circumference of Circle A is about 95.8 cm because 1⋅12⋅2.54⋅π≈95.8. (We don't actually need to know the radius is about 4,000 miles, or 20 million feet.) Play this game to review Pre-algebra. • The distance to the moon is 10 times the circumference of Earth, or approximately 400,000 kilometers (250,000 miles). Note that the radius of the Earth is 3960 miles and there are 1760 yards in a . People in 240 B.C.E. Answer (1 of 5): In fact, this brain teaser requires neither an exact measurement of the Earth's circumference (which, in fact, varies by many kilometers depending on which circumference you measure), nor even an assumption that the Earth has a circular cross section (which, in fact, it does not). Answer: "How long would it take to walk the total circumference of our planet Earth by foot and boat?" Let's say 40,000 kms, part on foot part on boat. There are 5280 feet per mile, or 21 million feet to the center of the earth. The circumference of the Earth, at given radius is C = feet = 2*3.14159265*20924640 feet = 131473390.5 feet. Who calculated the circumference of the earth first? This corresponds to a circumference of between 24,384 and 32,481 miles, but it is likely that he calculated a value of about 25,000 miles. Earth's circumference is the distance around Earth. So if you use 3 miles it is 3 squared (9) and multiply by 8 (72), which is 6 feet. It reveals connection of the year ( 365.24 days) and the foot (unit of measuring length) with circumference of the Earth. The Earth's equatorial radius a, or semi-major axis, is the distance from its center to the equator and equals 6,378.1370 km (3,963.1906 mi). Speed of Rotation = Distance/Time = 40,000 km / 24 hr = 1670 km/hr. Circumference to Diameter Calculator. What is the circumference of a circle with a diameter of 4 ft? Note: for simplicity, the operations above were rounded to 2 . Measured at the equator, the circumference of the Earth is 24,901.55 miles. The key thing to note is that the radius or circumference of the Earth do not feature in the result at all. What Happened? Supposing you walk or row 8 hours every day, at 5 a speed of kms/h, that makes 40 kms per day - quite a lot, but doable by a good walker (though. So for us the answer is 5.73 inches. . At the equator, Earth has a circumference of 24.901.461 mi / 40.075.017 km. Basically it's 3 feet or 36 inches, over 2π. The circumference of Circle B is 100 cm because there are 100 cm in 1 m. Problem 5 (from Unit 3, Lesson 3) The circumference of Tyler's bike tire is 72 inches. For example, if the diameter is 16 feet, then the radius is 16 / 2 = 8 feet. Length of the rope (at ground level) is equal to the Earth's circumference: C Earth = 2 π R Earth Length of the rope raised above the ground by any height (h): C Rope = 2 π (R Earth + h . How far around is a circle that is 20 feet across? to sto boy2 • Convert this number of feet to miles. It is the original length of the rope. This is the radius of a circle that corresponds to the specified circumference. Note that 5,165.99878 x 2 = 32,458.92765 km which is precisely the Lateral Circumference of the Earth at 36 degrees Geodetic Latitude. Scientists have founded the diameter of the Earth to be 12,742km. Use this easy and mobile-friendly calculator to compute the circumference of a circle given its diameter. The actual circumference of the Earth is 40, 075 40,075 4 0, 0 7 5 km at the equator. The missing length is the circumference. If there are 5,280 feet in a mile, about how many miles is the circumference of the Earth? We define the following algebraic quantities: 1 Earth Circumference to common length units; 1 Ec = 40000000 meters (m) 1 Ec = 40000 kilometers (km) 1 Ec = 4000000000 centimeters (cm) 1 Ec = 131233595.80052 feet (ft) 1 Ec = 1574803149.6063 inches (in) 1 Ec = 43744531.933508 yards (yd) 1 Ec = 24854.847689493 miles (mi) 1 Ec = 4.227882887644E-9 light years (ly) 1 Ec = 151181121408.65 pixels (PX) 1 Ec = 2.5E+42 planck length (pl) One complete trip around earth (one rotation) is 360°, so any arc of the circle or sphere is a fractional slice of 360°. The 68-95-99.7 rule tells us how to find the middle 68%, 95% or 99.7% of a normal distribution . Earth Mean Orbital Elements (J2000) Semimajor axis (AU) 1.00000011 Orbital eccentricity 0.01671022 Orbital inclination (deg) 0.00005 Longitude of ascending node (deg) -11.26064 Longitude of perihelion (deg) 102.94719 Mean Longitude (deg) 100.46435 Once again, real world distances match FET. The equatorial radius is often used to compare Earth with other planets. Curvature of 7.98 inches per mile = 16,600 ft of curvature for entire globe. bro. Before Erastosthenes, other scholars had attempted to estimate the figure, but their methods were not recorded, and their estimations were far from accurate. They dropped out of the equations. • The circumference of Earth (distance around Earthat the equator) is approximately 40,000 kilometers (25,000 miles). . With a little thinking we can easily figure out that, C = π x 4.3m = 13.51m (to 2 decimal places). 3.14 = 6.28 (*) (*) 6.283 meters exactly or limited to de precision of this calculator (13 decimal places). From even 14,000 feet up, the curvature of the Earth is totally indistinguishable from flat. We do a bit of mathematics to isolate diameter, d, on one side of the equation: C = πd; C/π = d; Dividing the circumference by π, then, will give us the . Rowbotham states that if the earth is 25,000 miles in circumference then the curvature would be 8 inches per mile. a. It is something you can do too. The missing length is 13.51m. It is also called as the longest chord of the circle. This is approximately 345.8 days, 49.4 weeks, 11.5 months or .95 years of steady walking in a straight line. If you measure the circumference of the Earth, while passing through the poles, the . The actual stated curvature is ~8 inches per mile squared. The moon's mean radius is 1,079.6 miles (1,737.5 kilometers). C = 2π r Write formula for circumference. In metric units, if you add 1 metre to the circumference, then you add 1 2 π metres to its radius. Adding 3 feet to the circumference of planet Earth (24901 miles) also increases the radius by 6", but relative to the original length of the radius (3963 miles) this is a miniscual relative increase. Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). Use 3.14 for . Using the knowledge that the diameter is 4.3m on the diagram and knowing that C = πd, we can calculate the circumference. Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). Measured around the poles, the circumference is 40,007.863 km (24,859.734 mi). It is equivalent to the perimeter of a geometric shape, although that term perimeter is only used for polygons. The circumference is therefore 2 x 3.14159 x 8 = 50.26 feet. The Greek foot is the most obviously geodetic of all units. What is the approximate difference in the mean circumferences of Earth and Earth's Moon? The first person to calculate the Earth's circumference was Eratosthenes, a Greek mathematician, in 240 B.C. IE two measured terms. 40,000 divided by 2 is 20,000. In 200 B.C. Calculator Use. Circumference of a circle is defined as the distance around it. Show activity on this post. The circumference of the Earth in kilometers is 40,075 km, and the circumference of the Earth in miles is 24,901. That means: d = sqrt(2R+1) where R = 20925643.2 feet d = sqrt(2*20925643.2+1) d = sqrt(41851287.4) d = 6469.26 feet So you would have to travel along the tangent for over a mile to get one foot off the ground. Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). Circumference . In the writings of Eratosthenes, he estimated 250,000 stadia for circumference of the earth. How far around is a circle that is 4 feet across? Question: 1. 15cm (that's how far off the ground we're lifting the string, remember) out of 6,370km is close . .000027410˚ = .000000478 radians (the ratio of the described arc to the circumference of the earth's circumference expressed in feet) The point is, if my perceptions and calculations are correct, then when expressed rounded to 5 digits, the tan and radians are not separable, or, this as an instance when 100 feet is not even a prick. Circumference of Earth [stated] = 24,901. C = π(6 feet) C = 18.84954 feet; Getting Diameter from Circumference. Circles and Spheres Given a circle of radius R, the diameter is 2R, the circumference is 2π R. Given a sphere of radius R, the surface area is 4π R 2 and the volume is (4/3)π R 3.The simple thing to remember is that an area has dimensions of length squared (e.g., square meters) and a volume has dimensions of length cubed (e.g., cubic meters), so the scaling of surface area and volume for a . The diameter of the earth through the poles is 41717290 feet, or 12,715.43 kilometers, or . The Greek stadia* was or 300 royal cubits ( 157.5 meters or 516.73 feet. Let's say the Earth radius is R 1 and the radius of the string (after adding 1 meter) is R 2. Note: The Earth is almost, but not quite, a perfect sphere. C = π d Write formula for circumference. Posted by Alan Baren at As the Earth spins we are carried with the surface of the Earth in a big circle. Equatorial Circumference of the Earth: 40,077km= 131,486,400 feet The official value for equatorial circumference of the Earth: 40,075 kilometers. Let's use the Alexandrian/Attic stadion which is equivalent to 606.9 feet. 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