Mathematics, 16.07.2019 15:00 1Angel2Got3Brains
Achord an divides a circle of radius 3 cm into two segments. if ab subtends a central angle of 45, find the area of the minor segment
Answers: 1
![\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=3\\ \theta =45 \end{cases} \\\\\\ A=\cfrac{3^2}{2}\left[ \cfrac{\pi(45) }{180} - sin(45^o) \right]\implies A=\cfrac{9}{2}\left[ \cfrac{\pi }{4}-\cfrac{\sqrt{2}}{2} \right] \\\\\\ A=\cfrac{9}{2}\left( \cfrac{\pi -2\sqrt{2}}{4} \right)\implies A\approx 0.3523112199491](/tpl/images/0096/7314/75501.png)
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Achord an divides a circle of radius 3 cm into two segments. if ab subtends a central angle of 45, f...
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