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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.

rogreenhoxa8

Skilled2021-02-07Added 109 answers

The area of a sector with central angle θ and radius r is:
$A = θ / 360 ° \times π r^{2}$

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

$A = 80 ° / 360 ° \times π (12)^{2}$

$A = 2 / 9 \times 144 π$

$A = 32 π s q . c m$

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

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