The circumference of a circle is 25.12 miles. What is the circle's area?

Answer 1

The circumference of a circle is defined as pi times the diameter. The diameter of a circle is defined as two times the radius. Therefore, the circumference of a circle is two times the radius multiplied by pi. The area of a circle is pi times the radius squared.

Circumference = Diameter * pi = 2*radius*pi

Area = pi * radius²

^{If the circumference is 25.12, let's divide it by pi to find the diameter. If we use 3.14 as an approximation of pi then:}

^25.12/3.14=8

^{Since the diameter is twice the radius, we know:}

^{8 = 2r}

^{Divide by two on both sides and we will know the radius.}

^{r = 4}

Now for the area. A = pi * r²

A = 4² * pi

A = 16 * pi

If we are using 3.14 as an approximation for pi again, then:

A = 16 * 3.14

A = 50.24

The unit is miles. The area of the circle is 50.24 miles.