Question

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

Answer 1

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`