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37 votes
37 votes
8 G Find the area of the shaded area. Round your answer to the nearest tenth

User Sevara
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1 Answer

26 votes
26 votes

Answer:

47.1 units^2

Explanation:

The area of the shaded region is equal to the area of the bigger circle minus the area of the smaller circle.

Now, the area of a circle is given by


A=\pi r^2

where r is the radius of the circle.

The radius of the bigger circle is r = 8; thereofre, the area is


\begin{gathered} A=\pi(8)^2 \\ A=64\pi \end{gathered}

And the radius of the smaller circle is r = 7; therefore, the area is


A=\pi(7)^2
A=49\pi

The area of the shaded region is the difference between the two areas above:


Area=64\pi-49\pi
\text{Area}=15\pi


\text{Area}=15(3.1415)

Rounded to the nearest tenth the answer is


\text{Area}=47.1

User Ronen Yacobi
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