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oksian1 [2.3K]
2 years ago
8

FIND THE EXACT AREA OF THE SHADED PLEASE HELP ILL GIVE BRAINLIESTTTT

Mathematics
1 answer:
Triss [41]2 years ago
3 0

well, if we take the whole area of the circle, including the trapezoid in it, and then we <u>get the area of the trapezoid and subtract it from that of the circle's</u>, what's leftover is what we did not subtract, namely the shaded area.  Let's notice the circle has a diameter of 20, thus a radius of half that, or 10.

\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=12\\ b=20\\ h=8 \end{cases}\implies A=\cfrac{8(12+20)}{2}\implies A=128 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{circle}{\pi (10)^2}~~ - ~~\stackrel{trapezoid}{128}}\implies 100\pi ~~ - ~~128~~\approx~~186.16

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Step-by-step explanation:

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the graph is attached below

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4 years ago
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Step-by-step explanation:

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