Find the degree m

Given: l = 22 cm (length of arc) and r = 100 cm (radius of circle)

We know that θ = (here, θ is angle subtended by arc)

∴ θ = = 0.22 radians

We know that,

∴ 0.22 radian = 0.22 × = 0.22 ×

0.22 radian = (12.6)°

Also we know that, 1° = 60'

So 0.6° = 0.6 × 60 = 36'

Hence, 12°36'

∴ Angle subtended by arc of length 22 cm at the centre of the circle of radius 100 cm is 12°36’.