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shusha [124]
2 years ago
5

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

Mathematics
1 answer:
frutty [35]2 years ago
3 0

Answer:

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

Step-by-step explanation:

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

s= \theta r

Where <em>s</em> is the arc length, θ is the angle in radians, and <em>r</em> 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 <u>29.25 inches. </u>

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