Question

The area of sector of circle of radius 2cm is 𝜋cm2. Find the angle contained by the sector.

Answer 1

Area of sector = 𝜋 𝑐𝑚²

Radius of circle = 2𝑐𝑚

Let 𝜃 = angle subtended by arc at centre

Area of sector =`theta/360^@× pir^2`

=`theta/360^@× pi× 2 × 2`

=`(pitheta)/90^@`

`(pitheta)/90^@`= 𝜋 ⇒ 𝜃 = 90°