A circle has a radius of 9 inches. In inches, what is the length of the arc intercepted by central angle of 3.25 radians

Question

asked May 3, 2022 14.5k views

1 Answer

Tseries · Answer 1 · 2022-05-10T20:18:43+0000

Answer:

$\boxed {\boxed {\sf 29.25 \ inches}}$

Explanation:

Since we are given the central angle in radians, we should use the following formula for the arc length.

$s= \theta r$

Where s is the arc length, θ is the angle in radians, and r is the radius.

We know this circle has a radius of 9 inches and the central angle is 3.25 radians.

Substitute the values into the formula

$s= (3.25)( 9 \ in)$

Multiply.

$s= 29.25 \ in$

The arc length is 29.25 inches.