Question

A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is__ degrees

Answer 1

Arc Length = (radius)(angle in radians)
8pi = (4.5)(angle in radians)
angle in radians = (8pi)/(4.5)
1 radian = (180/pi) degrees
Hence (8pi)/(4.5) radians = (8pi/4.5)(180/pi) or 320 degrees