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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

User Hyangelo
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1 Answer

3 votes

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.

  • θ= 3.25
  • r= 9 in

Substitute the values into the formula


s= (3.25)( 9 \ in)

Multiply.


s= 29.25 \ in

The arc length is 29.25 inches.

User Tseries
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