Mathematics: Find the area of the shaded segment use pi key on your calculator to approximate pi round your answer to the nearest tenth

Find the area of the shaded segment use pi key on

Ответ:

niescarlosj

11.01.2022

well, AO and OB are both radii, and therefore, both of them are 10 inches long, meaning the triangle has a height of 10 and a base of 10.

let's also bear in mind that the central angle of that segment as well as sector is 90°.

$\bf \textit{area of a sector or a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ \theta =90\\ r=10 \end{cases}\implies A=\cfrac{(90)\pi (10)^2}{360}\implies A=25\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{sector's area}}{25\pi }~~-~~\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(10)(10)}\implies 25\pi -50\implies \stackrel{\textit{area of the segment}}{\approx~~28.54}$

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Ответ:

aaliyah80

17.07.2021

Mathematics

The answer is 116.5
6 x 10 = 60
Semi circle area formula is 1/2 πr^2
1/2 π(6)^2
1/2 π(36)
1/2 x 113.1
56.5 + 60 = 116.5

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Find the area of the shaded segment use pi key on your calculator to approximate pi round your answer to the nearest tenth

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