Question

How do you do this Please help

Answer 1

The answer is 68°.

Explanation:

Following the arc length equation:

s = r * θ where s is arc length, r is radius of the circle, and θ is the angle in radians.

12 is the Radius of the Circle and therefore solve for θ:

θ =
`(s)/(r)` =
`((68\pi )/(15) )/(12)` =
`(17\pi )/(45)` rad. or radians

Now, convert the radians to degrees:

`(17\pi )/(45)` = 68°