Question

The circumference of a circle is 5 Pi cm. What is the area of the circle?

Answer 1

6.25
`\pi` or and estimated answer of 19.625

Explanation:

C = 2R
`\pi`

Since 2R = D, the diameter is 5 cm and the radius is 2.5 cm

(D = diameter) (R = radius)

The area of a circle is
`R^(2)`
`\pi`

So 2.5 squared equals 6.25

The area of this circle is 6.25
`\pi`

or and estimated answer of 19.625

(6.25 times pi)

Answer 2

6.25 pi cm^2

Explanation:

The formula for circumference is

C = 2*pi*r

We know the circumference is 5 pi

5 pi = 2 * pi *r

Divide each side by pi

5 pi/pi = 2 * pi *r/pi

5 = 2r

Divide by 2

5/2 = 2r/2

2.5 = r

We need to find the area of the circle

The area is given by

A = pi * r^2

= pi * (2/5)^2

= pi *6.25

= 6.25 pi cm^2