Question

For a circle of radius 3 feet, find the arc length s subtended by a central angle of 57° ?

A. S=19/40 Pie Feet. C.S=19/20 Pie Feet

B. S=19/5 Pie Feet. D.S=19/10 Pie Feet

Answer 1

c) S=
`(19)/(20)\pi\text{ feet}`

Explanation:

`S=\theta r`, where
`\theta` is the angle in radians and r is the radio of the circle.

But
`57^(\circ) = (57\pi)/(180)`, then

`S=(19\pi)/(60)*3 =(19\pi)/(20)` feet