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Reptile [31]
3 years ago
12

Both circles have the same center. What is the area of the shaded region?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0
Notice, the diameter for the smaller circle  is 19.2, thus its radius is half that, or 9.6.

the radius from the center to the outer circle is then 9.6 + 18.1.

\bf \textit{area of a circular ring}\\\\
A=\pi (R^2-r^2)~~
\begin{cases}
R=\textit{radius from center}\\
\qquad \textit{to outer circle}\\
r=\textit{radius from center}\\
\qquad \textit{to inner circle}\\
----------\\
r=\frac{19.2}{2}\\
\qquad 9.6\\\\
R=\frac{19.2}{2}+18.1\\
\qquad 9.6+18.1\\
\qquad 27.7
\end{cases}
\\\\\\
A=\pi (27.7^2-9.6^2)
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