Answer and Step-by-step explanation:
We are told that the circumference is 20, and we are asked to find the area.
The equation for circumference is:
C = 2
r
We can plug in 20 and solve for r.
20 = 2
r
Divide by 2 on both sides.
10 =
r
Now divide by
on both sides.
= r
Now, we can plug this into the area equation:
A =
![\pi](https://img.qammunity.org/2021/formulas/mathematics/high-school/2j2worn9ytoxzzhoj9a714ilg18jf2lvx4.png)
![r^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/xvr99pf5pn207atmnitdnpxgktxg1zajpe.png)
A =
![\pi](https://img.qammunity.org/2021/formulas/mathematics/high-school/2j2worn9ytoxzzhoj9a714ilg18jf2lvx4.png)
![((10)/(\pi ) )^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/efxtydwglef8upj9vqsx7ty2tyju2ddlqc.png)
A =
![\pi](https://img.qammunity.org/2021/formulas/mathematics/high-school/2j2worn9ytoxzzhoj9a714ilg18jf2lvx4.png)
![(100)/(\pi ^(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/y0vne8qfbvsb160ao4qmsn1ze92m71me9m.png)
A =
![(100\pi )/(\pi ^(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/eyuuy7k600jcqp3qdq0gewytf3zzzrycku.png)
A =
![(100)/(\pi )](https://img.qammunity.org/2021/formulas/mathematics/high-school/475yfpb1fgvukl8tfswstik1gymqw6oecj.png)
Now, we put this into the calculator to solve.
We get:
31.830988618379067153776752674503
We are then told to round to the nearest whole number.
8 is greater than 5, so we round up.
32 is the answer (The Last Answer choice)
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