Mathematics, 05.12.2019 09:31 eyeneedalife
Find the area of the shaded segment use pi key on your calculator to approximate pi round your answer to the nearest tenth
Answers: 2
![\bf \textit{area of a sector or a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ \theta =90\\ r=10 \end{cases}\implies A=\cfrac{(90)\pi (10)^2}{360}\implies A=25\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{sector's area}}{25\pi }~~-~~\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(10)(10)}\implies 25\pi -50\implies \stackrel{\textit{area of the segment}}{\approx~~28.54}](/tpl/images/0404/4740/35340.png)
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