Question

A circle has a radius of 4 inches and a central angle of 45°. what is the measure of the arc length associated with this angle?

Answer 1

Pi Inches

Explanation:

Answer 2

`arc\ lenght=\pi`≈
`3.14`

Explanation:

You need to use the formula for calculate the arc lenght:

`arc\ length=2\pi r((C)/(360))`

Where "C" is the central angle of the arc in degrees and "r" is the radius.

You know that the measure of the radius of the circle is 4 inches and the central angle is 45 degrees, then you can substitute into the formula
`arc\ length=2\pi r((C)/(360))`.

Therefore, you get that the measure of the arc length is:

`arc\ length=2\pi r((C)/(360))\\\\arc\ length=2\pi (4in)((45\°)/(360))`

`arc\ lenght=\pi`≈
`3.14`