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![\bf \textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left[ \cfrac{\pi \theta }{180}~~-~~sin(\theta ) \right]~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=8\\ \theta =72 \end{cases} \\\\\\ A= \cfrac{8^2}{2}\left[ \cfrac{\pi(72) }{180}~~-~~sin(72^o ) \right]\implies A=32\left[ \cfrac{9\pi }{10}~~-~~ \stackrel{\approx}{0.95}\right] \\\\\\ A\approx 9.7785774445044391446\qquad \qquad \stackrel{3~segments}{3A\approx 29.3357323335133174}](/tpl/images/0089/8606/b32a6.png)
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