Question

Find the area of a sector with a central angle of 75 degrees and a radius of 12. Express your answer in terms of pi

Answer 1

`\begin{gathered} \text{area of sector=}(\emptyset)/(360)*\pi* r^2 \\ \text{where} \\ \emptyset=central\text{ angle} \\ \text{area of sector=}(75)/(360)*\pi*12^2 \\ \text{area of sector=}(75)/(360)*\pi*144 \\ \text{area of sector=}(10800)/(360)\pi \\ \text{area of sector=}30\pi \end{gathered}`