Find the diameter of a circle that has an arc measure of 14pi and a central angle of 80°

Answer:63

Step-by-step explanation:

Length of arc = 14π

Φ=80°

Radius = r

Length of arc = Φ/360 x 2 x π x r

14π=80/360 x 2 x π x r

14π = (80x2xπxr) / 360

14π=160πr/360

Cross multiply

14π x 360=160πr

5040π=160πr

Divide both sides by 160π

5040π/160π=160πr/160π

31.5=r

Diameter = 2 x r

Diameter = 2 x 31.5

Diameter = 63