Question

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

What is the length of the arc?


6.28 ft

​ 9.42 ​ ft

​ 18.84 ​ ft

​ 28.26 ​ ft

Answer 1

Answer: 28.26 ​ ft

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\° (\pi)/(180\°)=(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