Given:
• Radius of the circle, r = 8 in
,
• Central angle = 165 degrees
Let's find the area of the sector of the circle.
To find the area of the sector, apply the formula:
[tex]A=\frac{\theta}{360}*\pi r^2[/tex]
Where:
r is the radius = 8 in
θ = 165 degrees
Thus, we have:
[tex]\begin{gathered} A=\frac{165}{360}*\pi *8^2 \\ \\ A=0.4583*\pi *64 \\ \\ A=92.2\text{ in}^2 \end{gathered}[/tex]
Therefore, the area of the sector is 92.2 in².
ANSWER:
