Question

In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 270 degrees.

Answer 1

Answer: 28.26 ​ ft

Step-by-step explanation:

The formula to calculate the length of arc $l$ is:

$l=r \theta$

Where:

$r=6 ft$ is the radius of the circle

$\theta=270\° \frac{\pi}{180\°}=\frac{3}{2} \pi=4.71 rad$ is the angle in radians

$l=(6 ft)(4.71 rad)$

$l=28.26 ft$ This is the length of the arc