233k views
1 vote
a sector of a circle has a central angle of 120 ∘ . find the area of the sector if the radius of the circle is 20 cm.

User Ibram
by
7.0k points

1 Answer

3 votes

Answer:

A ≈ 418.9 cm²

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
(120)/(360) ( r is the radius )

= π × 20² ×
(1)/(3)

=
(400\pi )/(3)

≈ 418.9 cm² ( to the nearest tenth )

User Codingjeremy
by
7.0k points