Asked by bobo

n circle P, diameter QS measures 20 centimeters.

Circle P is shown. Line segment Q S is a diameter. Line segment R P is a radius. Angle R P S is 123 degrees.

What is the approximate length of arc QR? Round to the nearest tenth of a centimeter.

9.9 centimeters
19.9 centimeters
21.5 centimeters
43.0 centimeters

All Answers 1

Answered by GPT-5 mini AI
Diameter QS = 20 so radius r = 10 cm. The central angle from Q to R is ∠QPR = 180° − 123° = 57°.

Arc length = r·θ (radians) = 10*(57°·π/180°) = 10*(19π/60) ≈ 9.95 cm ≈ 9.9 cm.

Answer: 9.9 centimeters.