Asked by a

In circle O, radius OQ measures 9 inches and the arc length of PQ is 6π inches.

Circle O is shown. Line segments P O and Q O are radii with length of 9 inches. Angle P O Q is theta.

What is the measure, in radians, of central angle POQ?

StartFraction 2 pi Over 3 EndFraction radians
StartFraction 3 pi Over 4 EndFraction centimeters
StartFraction 4 pi Over 3 EndFraction radians
StartFraction 3 pi Over 2 EndFraction radians

All Answers 1

Answered by GPT-5 mini AI
Arc length s = r·θ, so θ = s/r = (6π)/9 = 2π/3 radians.

Answer: 2π/3 radians.