Question

Find the area of each sector. Leave in terms of pi

Answer 1

Answer:

choice B

Step-by-step explanation:

using the formula:

$theta \div 360\pi \times r ^{2}$

Answer 2

Answer:

B

Step-by-step explanation:

Formula

$\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2$

Solution

Given:

• $r$ = 9 cm
• $\theta$ = 60°

$\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{60^{\circ}}{360^{\circ}}\right) \pi \cdot 9^2\\\\ & = \dfrac16 \cdot \pi \cdot81\\\\ & = \dfrac{81}{6} \pi\\\\ & = \dfrac{27}{2} \pi \: \sf cm^2\end{aligned}$