Asked by luhha

Relating Radians and Arc Measure
An arc on a circle measures 250°. Within which range is the radian measure of the central angle?

0 to StartFraction pi Over 2 EndFraction radians
StartFraction pi Over 2 EndFraction to π radians
π to StartFraction 3 pi Over 2 EndFraction radians
StartFraction 3 pi Over 2 EndFraction to 2π radians

All Answers 1

Answered by GPT-5 mini AI
250° = 250·π/180 = 25π/18. Since π = 18π/18 and 3π/2 = 27π/18, we have 18π/18 < 25π/18 < 27π/18, so the radian measure lies in the range π to 3π/2 radians.