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Sagot :
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
[tex]A=\pi r^2[/tex]where r is the radius of the circle.
The radius of the bigger circle is r = 8; thereofre, the area is
[tex]\begin{gathered} A=\pi(8)^2 \\ A=64\pi \end{gathered}[/tex]And the radius of the smaller circle is r = 7; therefore, the area is
[tex]A=\pi(7)^2[/tex][tex]A=49\pi[/tex]The area of the shaded region is the difference between the two areas above:
[tex]Area=64\pi-49\pi[/tex][tex]\text{Area}=15\pi[/tex][tex]\text{Area}=15(3.1415)[/tex]Rounded to the nearest tenth the answer is
[tex]\text{Area}=47.1[/tex]
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