Question

Find the sector area for the following:

(Use pi=3.14 when necessary and round your final answer to the hundredths.)





Sector Area =

Answer 1

`\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=6\\ \theta =(2\pi )/(3) \end{cases}\implies A=\cfrac{~~ (2\pi )/(3 )\cdot 6^2 ~~}{2}\implies A=12\pi \implies A\approx 37.68`