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.

Question

asked Mar 17, 2023 233k views

1 Answer

Codingjeremy · Answer 1 · 2023-03-21T18:58:10+0000

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 )