Question

How do i get the area

Answer 1

`\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 =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=14\\ \theta =90 \end{cases}\implies A=\cfrac{(14)^2}{2}\left( \cfrac{\pi (90) }{180}-\sin(90^o) \right) \\\\\\ A=\cfrac{196}{2}\left( \cfrac{\pi }{2}-1 \right)\implies A=49\pi - 98~~ \approx ~~ 55.94~cm^2`