Question

In a circle of radius 25 inches, a central angle of 35 will intersect the circle forming an arc of length ____.

Answer 1

The arc may be found from the this direct proportion:

angle measure / 360 ° = arc / circumference

And you also need to know that circumference = 2π*radius

Then we can establish this equation

35 / 360 = arc / 2π(25 inches)

Solve for arc: arc = [35/360]*25*2*3.1416 = 15.3 inches

Answer: 15.3 inches