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MadH · Answer 1 · 2023-09-27T16:03:38+0000

Answer:

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

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:

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

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