In a circle whose radius is 4cm, what is the arc length intercepted by a 45° angle?

Solution:

We have, length of arc ‘s’ intercepted in a circle of radius ‘r’ and angle ‘θ’ (in radians) given by, s = r.θ.

Given, θ = 45°

45 × (π / 180) = π / 4 radians,

r = 4 cm

∴ Length of arc, s = r.θ = 4 × (π / 4)

s =π

In a circle whose radius is 4cm, what is the arc length intercepted by a 45° angle?

Summary: 

In a circle whose radius is 4cm, the arc length intercepted by a 45° angle is π.