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.

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Solution

We know that in a circle of radius r unit, if an arc of length l unit subtends an angle θ radian at the centre, then

Therefore, forr = 100 cm, l = 22 cm, we have

Thus, the required angle is 12°36′.

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Similar questions

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 $(use π = \frac{22}{7})$ .

100 c m

22 c m

π = \frac{22}{4}

(U s e π = \frac{22}{7}) .

r a d i u s o f c i r c l e = 5.5 m, l e n g t h o f a r c = 6.05 m [π = \frac{22}{7}]

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