Question

In circle Q with m, angle, P, Q, R, equals, 30, degreesm∠PQR=30
∘
and P, Q, equals, 3PQ=3 units, find the length of arc, P, R
PR
⌢
. Round to the nearest hundredth.
P
R
Q
Answer
Attempt 1 out of 2

Answer 1

Interpret Q as the center. The central angle PQR = 30° so the arc PR subtends 30°.

Arc length s = r·θ (θ in radians). Convert 30° to radians: 30° = π/6.

s = 3·(π/6) = π/2 ≈ 1.5708.

Rounded to the nearest hundredth: 1.57 units.