Find the arc length with the given information.

central angle equals Start Fraction pi over 4 End Fraction, radius = 3
(1 point)
Responses

Start Fraction 3 pi over 2 End Fraction
Image with alt text: Start Fraction 3 pi over 2 End Fraction

Start Fraction 3 pi over 4 End Fraction
Image with alt text: Start Fraction 3 pi over 4 End Fraction

Start Fraction pi over 6 End Fraction
Image with alt text: Start Fraction pi over 6 End Fraction

Start Fraction pi over 12 End Fraction

1 answer

To find the arc length L of a circle corresponding to a central angle, you can use the formula:

L=rθ

where:

  • r is the radius of the circle,
  • θ is the central angle in radians.

Given:

  • r=3
  • θ=π4

Now, substituting the values into the formula:

L=3π4=3π4

So the arc length is:

3π4

The correct response is:

Start Fraction 3π over 4 End Fraction