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
