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)
Responses

226.2 degrees
226.2 degrees

45.8 degrees
45.8 degrees

22.9 degrees
22.9 degrees

72 degrees

Answer 1

Arc length s = r·θ (θ in radians). Here r = 20/2 = 10 ft, so θ = 4/10 = 0.4 rad = 0.4·(180/π) ≈ 22.9°.

Answer: 22.9 degrees.