Question

Find the central angle θ which subtends an arc of length 50 miles of a circle of radius 36 miles

Answer 1

(πrθ)/180 = arc length       [r=radius, θ=central angle, π≈3.14]  ⇒
πrθ =  180*arc length
θ = (180*arc length)/πr

θ = (180 * 50)/(3.14 * 36) ≈ 79.6°