Using this information we can calculate the circumference of the Earth as C = π x 12,742km = 40,030km. Draw you flight path on a map and calculate the great circle distance in nautical miles and kilometers.Get estimated flight time by choosing an aircraft type or entering the cruising speed. Given this information, what is the circumference of the Earth? Get out a piece of paper and a calculator and see if you can work it out on your own.Īgain, we know that C = πd, and that the diameter of the earth is 12,742km. Air Distance & Flight Time Calculation The Great Circle Mapper. Have you ever wondered how big the earth is? Well, using pi it’s possible to work out the circumference of the Earth! Scientists have discovered that the diameter of the Earth is 12,742km. ![]() How to calculate the circumference of the Earth With a little thinking we can easily figure out that, C = π x 4.3m = 13.51m (to 2 decimal places). Using the knowledge that the diameter is 4.3m on the diagram and knowing that C = πd, we can calculate the circumference. Example 3įind the missing length (marked with a ?) on the diagram below: Since the radius is 3m, we know that C = π x 6m = C= 18.84m (to 2 decimal places). If a circle has a radius of 3m, what is its circumference? Answer Since the diameter is 10cm, we know that C = π x 10cm = 31.42cm (to 2 decimal places). If a circle has a diameter of 10cm, what is its circumference? Answer If r is the radius of the circle, then d = 2r. Remember that the diameter is double the length of the radius. You can also work out the circumference of a circle if you know its radius. This tells us that the circumference of the circle is three “and a bit” times as long as the diameter. The formula for working out the circumference of a circle is:Ĭircumference of circle = π x Diameter of circle To begin with, remember that pi is an irrational number written with the symbol π. If you know the diameter or radius of a circle, you can work out the circumference. How can you calculate the circumference of a circle? This diagram shows the circumference, diameter, center, and radius on a circle. If you are measuring it by hand, remember that the diameter is the largest measurement you can get from a circle. You can also think of the radius as the distance between the center of the circle and its edge. Calculation is easy once you have measured the circle's radius or diameter, or if you know it from plans and schematics: just plug the numbers into the formulas above or use our circle area calculator instead. ![]() The diameter will always pass through the center of the circle. The diameter is the distance from one side of the circle to the other at its widest points. Given the radius or diameter and pi you can calculate the circumference. ![]() The radius, the diameter, and the circumference are the three defining aspects of every circle. There are two other important distances on a circle, the radius (r) and the diameter (d). This diagram shows the circumference of a circle. For shapes made of straight edges this line is called the perimeter but for circles this defining line is called the circumference. You can think of it as the line that defines the shape. ![]() It is like the perimeter of other shapes like squares. The circumference of a circle is the distance around the outside of the circle. How can you calculate the circumference of a circle?.In this article you will learn the answers to the following questions. The next equations show how you can instead find the diameter from them.Understanding what a circumference of a circle is and how to calculate it is crucial as you move to higher level math. Starting from the diameter, you can easily find the other two. The circumference – the length of the outside boundaries of the circle.The radius – the distance from the circle's center or origin to the edge, one half the diameter.There are three dimensions most often used to describe a circle: If you draw two opposing line segments from the circle's origin to the edge, you just drew the diameter. The diameter of a circle is the distance from edge to edge of a circle passing through its origin or center.Ĭonveniently, it is twice as long as the radius of a circle. Below is a diameter calculator, which will compute a circle's radius, circumference, and area if you know the diameter.ĭo you know a different dimension? Instead try one of the related circle dimension calculators:ĭiameter Calculator What is a Circle's Diameter?
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