Instructions: Find the area of the sector. Round your answer to the nearest tenth.

Question

asked Feb 14, 2023 156k views

1 Answer

Asthme · Answer 1 · 2023-02-20T17:55:23+0000

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:

$A=(\theta)/(360)*\pi r^2$

Where:

r is the radius = 8 in

θ = 165 degrees

Thus, we have:

$\begin{gathered} A=(165)/(360)*\pi *8^2 \\ \\ A=0.4583*\pi *64 \\ \\ A=92.2\text{ in}^2 \end{gathered}$

Therefore, the area of the sector is 92.2 in².

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