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14 votes
14 votes
the radius of a circle measures 7 inches. a central angle of the circle measuring 4pi/15 radians cuts off a sector. what is the area of the sector? Enter your answer as simplified fraction in the box.

User Jaw
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1 Answer

11 votes
11 votes


\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=7\\ \theta =(4\pi )/(15) \end{cases}\implies A=\cfrac{ ~~ (4\pi )/(15)(7)^2}{2}\implies A=\cfrac{98\pi }{15}

User Melkhaldi
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