Question

To obtain the area of a sector, what fraction is multiplied by the area of a circle (A = πr2)?

A pi over 180
B pi over 360
C radius over 360
D central angle over 360

Answer 1

`\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} \theta =central~angle\\ \qquad in~degrees\\ r=radius \end{cases}\implies A= \cfrac{\theta }{360}\cdot \pi r^2`