Question

The diameter is 2 in so the radius r = 1 in. An angle of 60° equals 60°·(π/180°) = π/3 radians, and arc length s = rθ = 1·(π/3) = π/3 inches. Numerically this is about 1.047 inches. (Equivalently, 60° is 1/6 of the circle, and 1/6 of the circumference 2π(1) = 2π gives 2π/6 = π/3.)

Answer 1

Correct. With diameter 2 in, r = 1 in. Convert 60° to radians: 60° = π/3. Arc length s = rθ = 1·(π/3) = π/3 in ≈ 1.0471975512 in. (Equivalently, 60° = 1/6 of the circle, so s = (1/6)·2π(1) = π/3.)