Question

If the arc of a circle is 15 meters long and the radius of the circle is 3 meters, then what is the measure of the central angle, to the nearest tenth of a degree, that intercepts that 15-meter arc?(1 point)

7.9 degrees

286.5 degrees

353.4 degrees

282.7 degrees

Answer 1

Arc length s = r·θ (θ in radians). So θ = s/r = 15/3 = 5 radians. Convert to degrees: 5·(180/π) ≈ 286.4789°, which rounds to 286.5°.