Question

If the length of an arc of a circle is 44 inches and the radius is 12 inches, then what is the degree measure of the central angle to the nearest tenth of a degree?(1 point)

210.1 degrees

420.2 degrees

308.4 degrees

4.6 degrees

Answer 1

Arc length s = rθ (θ in radians). So θ = s/r = 44/12 = 11/3 ≈ 3.6667 radians.
Convert to degrees: θ° = (11/3)·(180/π) = 660/π ≈ 210.1°.

Answer: 210.1 degrees.