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:

$s=3\cdot\frac{\pi}{4}=\frac{3}{4}\pi$

therefore the exact arc length is:

$s=\frac{3}{4}\pi$