Question

An angle measuring 3π/8 radians has its vertex at the center of a circle who radius is 4 feet, how do you find the length of subtended arc?

Answer 1

`(3pi)/2` feet

Explanation:

The value of an angle measured in radians is the length of the arc for that angle with a unit radius.

Since arc length varies directly with the radius

if the arc length of the subtended arc for a `(3pi)/8` angle with a circle of radius 4 feet is `x`
Then
`color(white)("XXXX")` `x:4feet = (3pi):8`

`rArr x = (3pi)/2` feet