Question

Evie measured the circumference of a circle. Which steps can she follow to find the area of the circle?

A.
Multiply the circumference by
π
to find the diameter. Multiply the diameter by 2 to find the radius. Use the radius in the formula
A
=
π
r
2
to find the area.

B.
Divide the circumference by
π
to find the diameter. Divide the diameter by 2 to find the radius. Use the radius in the formula
A
=
2
π
r
to find the area.

C.
Divide the circumference by
π
to find the diameter. Divide the diameter by 2 to find the radius. Use the radius in the formula
A
=
π
r
2
to find the area.

D.
Multiply the circumference by
π
to find the diameter. Multiply the diameter by 2 to find the radius. Use the radius in the formula
A
=
2
π
r
to find the area.

Answer 1

To find the area of a circle from its circumference, you can follow these steps:

1. **Find the diameter** using the formula for circumference:
\[
C = \pi d
\]
Therefore, the diameter can be found by dividing the circumference by \(\pi\):
\[
d = \frac{C}{\pi}
\]

2. **Find the radius** by dividing the diameter by 2:
\[
r = \frac{d}{2} = \frac{C}{2\pi}
\]

3. **Use the radius to find the area** using the area formula:
\[
A = \pi r^2
\]

Given these steps, the correct option is:

**C.** Divide the circumference by \(\pi\) to find the diameter. Divide the diameter by 2 to find the radius. Use the radius in the formula \(A = \pi r^2\) to find the area.