Q. 44.0( 153 Votes )

# Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm (Use π = 22/7).

Answer :

**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’.

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