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?

1 Answer
Alan P.
Jul 23, 2015

(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

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