Question

The circumference of the circle is 7pi cm. What is the area, in square centimeters?

Answer 1

`12.25\pi {cm}^(2)`

Explanation:

Given that,

`\text{Circumference} =( 7\pi \: )cm`

• First, let us find the radius of the circle.
• For that, we can use the formula which is use to find the circumference.
• The formula to find the circumference of a circle is:

`\text{Circumference} = 2\pi \: r`

• Let us make radius as the subject and find the value of r.

`\text{Circumference} = 2\pi \: r \\ 7\pi = 2\pi \: r \\ \text{divide \: both \: sides \: by \: }2\pi \\ 3.5 \: cm = r`

• And now let us find the area of the circle.
• The formula to find the area of a circle is:

`\text{Area} = \pi {r}^(2) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \text{Area} = \pi * 3.5 * 3.5 \\ \text{Area} = 12.25\pi {cm}^(2) \: \: \: \: \:`