Question

Find the area of the sector of the circle with central angle of 225° and radius of 5 cm. Round to the nearest hundredth.

Answer 1

$\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}\qquad \begin{cases} r=radius\\ \theta =angle\ in\\ \qquad degrees\\ ------\\ r=5\\ \theta = 225 \end{cases}\implies A=\cfrac{225\cdot \pi \cdot 5^2}{360}$