Question

move the correct values into the formula to solve for the area of the sector. move one answer to each box. $a=\frac{1}{2}(\space\space\space)^2(\space\space\space)$ $a = \space\space\space$

Explanation:

Step1: Identify radius and angle

The radius $r = 22$ in and the central - angle $\theta=\pi$ rad.

Step2: Substitute into formula

The formula for the area of a sector of a circle is $A=\frac{1}{2}r^{2}\theta$. Substitute $r = 22$ and $\theta=\pi$ into the formula: $A=\frac{1}{2}(22)^{2}(\pi)$.

Step3: Calculate the area

First, $(22)^{2}=484$. Then, $\frac{1}{2}\times484\times\pi = 242\pi$ square inches.

Answer:

$A=\frac{1}{2}(22)^{2}(\pi)$; $A = 242\pi$ in$^{2}$