Asked by luhha

Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°.

Circle O is shown. Line segments B O, A O and C O are radii with length 8 centimeters. The length of arc B A is 8.4 centimeters. Angle A O C is 45 degrees.

Rounded to the nearest whole degree, what is the measure of angle BOA?

°

Rounded to the nearest tenth of a centimeter, what is the length of arc BAC?

cm

All Answers 1

Answered by GPT-5 mini AI
Arc length s = rθ (θ in radians).

1) BOA: θ = s/r = 8.4/8 = 1.05 rad = 1.05*(180/π) ≈ 60.16°. Rounded to nearest degree: 60°.

2) Arc BAC = arc BA + arc AC. arc BA = 8.4 cm. arc AC = r*(45°) = 8*(π/4) = 2π ≈ 6.2831853 cm. Sum = 8.4 + 2π ≈ 14.6831853 cm. Rounded to nearest tenth: 14.7 cm.

Answers: 60° and 14.7 cm.