Find the exact length of a Arc of a circle if the radius is 3 in and the angle is π/4 radians.

Question

asked Nov 15, 2023 227k views

1 Answer

Malith Lakshan · Answer 1 · 2023-11-19T13:05:34+0000

The arc length is given as:

$s=r\theta$

where r is the radius and theta is the angle (in radians). Then we have:

$s=3\cdot(\pi)/(4)=(3)/(4)\pi$

therefore the exact arc length is:

$s=(3)/(4)\pi$