Find the length of an arc of a circle with a radius of 18 cm if the arc subtends a central angle of 2π / 3?

Solution:

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

s = r.θ.

Here, θ = 2π / 3, r = 18 cm

S = (18)( 2π / 3) = 12π cm.

Find the length of an arc of a circle with a radius of 18 cm if the arc subtends a central angle of 2π / 3?

Summary:

The length of an arc of a circle with a radius of 18 cm if the arc subtends a central angle of 2π / 3 is 12π cm.