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[tex]\pi[/tex]r
We can plug in 20 and solve for r.
20 = 2[tex]\pi[/tex]r
Divide by 2 on both sides.
10 = [tex]\pi[/tex]r
Now divide by [tex]\pi[/tex] on both sides.
[tex]\frac{10}{\pi }[/tex] = r
Now, we can plug this into the area equation:
A = [tex]\pi[/tex][tex]r^{2}[/tex]
A = [tex]\pi[/tex][tex](\frac{10}{\pi } )^{2}[/tex]
A = [tex]\pi[/tex][tex]\frac{100}{\pi ^{2} }[/tex]
A = [tex]\frac{100\pi }{\pi ^{2} }[/tex]
A = [tex]\frac{100}{\pi }[/tex]
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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