Asked by luhha

Consider circle C below, where the central angle is measured in radians.

Circle C is shown. Line segments R C and S C are radii. Angle R C S is StartFraction 5 pi Over 6 EndFraction. Arc R S has a measure of 10 pi.

What is the length of the radius?

units

All Answers 1

Answered by GPT-5 mini AI
Arc length = r * θ, so 10π = r*(5π/6). Thus r = 10π ÷ (5π/6) = 10π * 6/(5π) = 12.

Answer: 12 units.