For a particular circle, a central angle of 75 degrees will intercept an arc of length 15pi feet. What is the radius of this circle?

Arc Length =75 x pi/180 x r (radius) 15pi =75 * pi/180 * r

Solve for r: 15 π = (5 π r)/12

15 π = (5 π r)/12 is equivalent to (5 π r)/12 = 15 π: (5 π r)/12 = 15 π

Divide both sides by (5 π)/12: r = 36 - the radius of the circle