A circular arc of length 100 ft subtends a central angle of 70 degrees.

Question

.Find the radius of the circle?

Answer 1

Arc length l = 100 ft

Central angle θ = 70º

Radius r = ?

Arc length l = (2π/360)rθ

Substitute : l = 100 and θ = 70.

100 = (2π/360)r(70)

r = (100*360) / (2π*70)

r = (100*360) / (2π*70)

r = 81.85 ft

Radius is 81.85 ft