Question

If the angle of the sector with radius 4 units is 45° then find the length of the arc of the sector.

Pls answer with a sheet of paper​

Answer 1

Given : Angle of the sector of a circle with radius of 4 units is 45°.

To find : Length of arc of sector

Solution :

Length of arc is given by formula,

• L = θ/360° × 2 π r

Here,

• L = Length of arc
• θ = Angle of sector
• r = Radius

Substitute given values of θ and radius, we get :

=> L = (45° / 360°) × 2 π × 4

=> L = (1 / 8) × 8 π

=> L = π

Hence the length of arc is π units.