Question

Find the area of sector AOB if the radius of circle O is 12 cm. Give the answer in terms of π.

Circles
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asked 2021-02-06
Find the area of sector AOB if the radius of circle O is 12 cm. Give the answer in terms of π.

Answers (1)

2021-02-07

The area of a sector with central angle θ and radius r is:
\(A=θ/360°×πr^2\)

Since the measure of an arc is equal to the measure of its central angle, we know that \(θ=x=80°\). Given r=12 cm, we have

\(A=80°/360°×π(12)^2\)

\(A=2/9×144π\)

\(A=32π sq. cm\)

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