1 Answer

Janb · Answer 1 · 2023-02-03T21:20:17+0000

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

$\text{Area}=47.1$

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