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Circumference Formula

March 11, 2019 By Math Solver Leave a Comment

The Circumference of a Circle is the distance around it. That is, the circumference would be the length of the circle if it were opened up and straightened out to a line segment. The word circumference is used when we are measuring physical objects, as well as when considering abstract geometric forms.

Circumference Formula

The circumference of a circle is related to one of the most important mathematical constants. This constant, pi, is represented by the Greek letter π. Pi is defined as the ratio of a circle’s circumference C to its diameter d.
It is denoted as:

C=π.d
or C= 2π.r

We will show you examples you both formulas.

1. Find the circumference of a circle with a radius of 3 cm.

First, we need to find the diameter. The diameter is twice the radius, so 2 x 3 cm = 6 cm

C =  π.d = 6 π

C = 6 x 3.14

C = 18.84 cm or 6 π

 

2. You are cutting out a paper to wrap around the edge of a cake you have just baked. The radius of the pie is 5 inches. 

C = 2πr
C = 2π x 5
C = 10π
C = 31.4 inches

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