Question

find the area of the sector of a circle having radius r and central angle θ.
r = 12.8 cm, θ = 8/11
the area is approximately □ cm²
(round to the nearest tenth.)

Explanation:

Step1: Recall the formula for the area of a sector

The formula for the area of a sector of a circle is \(A=\frac{1}{2}r^{2}\theta\), where \(r\) is the radius and \(\theta\) is the central angle in radians.

Step2: Substitute the given values into the formula

Given \(r = 12.8\) cm and \(\theta=\frac{8}{11}\) radians.

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Answer:

\(59.6\)