An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?

0 to radians

to π radians

π to radians

to 2π radians

An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?

its B

The measure of the unknown central angle is equal to the measure of the arc of the circle. That is also 125°. To convert the angle measurement in degrees to radian, we divide it by the dimensional analysis factor of 2π/360°.

central angle = (125°) (2π/360°)

central angle = 0.694π

Thus, the answer is the second choice.