Question

If a circular pool has a circular fence around it that has a 20-foot diameter, then what is the measure of the central angle that cuts the arc that measures 4 feet? (1 point)

Answer Choices
226.2 degrees

45.8 degrees

22.9 degrees

72 degrees

Answer 1

Arc length s = r·θ (θ in radians). Here r = 10 ft, s = 4 ft, so θ = 4/10 = 0.4 rad.

Convert to degrees: 0.4 × (180/π) ≈ 22.9 degrees.

Answer: 22.9 degrees.