Question

Find the area of a circle with a circumference of 37.68 units.

Answer 1

Circumference of a circle:

C = 2 pi r

r = C / 2 pi

r = 37.68 / (2 * 3.14)

r = 6

Area of a circle:

A = pi r^2

A = 3.14 * 6^2

A = 113.04

Answer

The area of a circle = 113.04 square units

Answer 2

Circumference is 2*pi*r and area is pi*r^2.

To find the area we need to find the radius from the circumference given:

37.68 = 2 * pi * r

18.84 = pi * r

r = about 5.997

Now plug the radius into the area formula:

A = pi * 5.997^2

A = pi * 35.964

Area = about 112.984 units squared

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