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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