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

Brittney Lord

Brittney Lord

Answered question

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.

Answer & Explanation

rogreenhoxa8

rogreenhoxa8

Skilled2021-02-07Added 109 answers

The area of a sector with central angle θ and radius r is:
A=θ/360°×πr2

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=32πsq.cm

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

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