With the calculator on the left, you can input the radii of three mutually tangent circles and find the radii of the interior and exterior fourth circle. The gray circles are the three given osculating circles, and the pink circles are the possibilities for the fourth mutually tangent circle. The diagram below shows three different cases of Soddy circles: (1) when the exterior fourth circle circumscribes the three circles, (2) when the exterior Soddy circle does not circumscribe the other three, and (3) when the outer Soddy Circle is a line (a circle of infinite radius). Using this information we can calculate the circumference of the Earth as C = π x 12,742km = 40,030km.If three circles are mutually tangent (osculating circles, or "kissing" circles), there is a circle in the interior that is mutually tangent to the three, as well as an exterior circle mutually tangent to the three.įour mutually tangent circles are known as Soddy Circles, after the radiochemist Frederick Soddy who rediscovered Descartes' Theorem for finding the radii of these circles. 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. 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. Circle calculator - Calculate the properties of Circle such as Area of the circle, Circumference of the Circle, Diameter of the Circle and its details. 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. You can also think of the radius as the distance between the center of the circle and its edge. 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. If told to find all values of a cricle given a radius of length 7, you can use the calculation process. If given the radius then the diameter is already two times that value and if given the diameter, the radius is half of that value. You can think of it as the line that defines the shape. The Mohrs Circle calculator provides an intuitive way of visualizing the state of stress at a point in a loaded material. Finding values in a circle is very simple because only one value in a circle is needed to find all other values. 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. Understanding what a circumference of a circle is and how to calculate it is crucial as you move to higher level math.
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