Question

find the area of the sector of a circle having radius r and central angle θ.
r = 12.6 cm, θ = \frac{π}{11}

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 \(r = 12.6\space\text{cm}\) and \(\theta=\frac{\pi}{11}\).
Substitute into \(A=\frac{1}{2}r^{2}\theta\):

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Step3: Calculate the numerical value

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Answer:

The area of the sector is approximately \(22.66\space\text{cm}^{2}\)