Question

The area of sector of circle of radius 5cm is 5𝜋 cm2. Find the angle contained by the sector.

Answer 1

Area of sector = 5𝜋 cm².

Radius (r) = 5cm

Let 𝜃 = angle subtended at centre area of sector =`theta/360^@× pir^2`

=`theta/360× pi × 5 × 5 =(5pitheta)/72^@`

=`(5pitheta)/72^@`= 5𝜋

⇒ 𝜃 = 72°