Question

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

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

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

$$A=80°/360°×π(12)^2$$

$$A=2/9×144π$$

$$A=32π sq. cm$$