Emma123456789
Emma123456789 Emma123456789
  • 13-05-2021
  • Mathematics
contestada

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

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Sarah06109
Sarah06109 Sarah06109
  • 13-05-2021

Answer:

[tex]\boxed {\boxed {\sf 29.25 \ inches}}[/tex]

Step-by-step explanation:

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

[tex]s= \theta r[/tex]

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

[tex]s= (3.25)( 9 \ in)[/tex]

Multiply.

[tex]s= 29.25 \ in[/tex]

The arc length is 29.25 inches.

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