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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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{12.6}^{\circ}

{2.6}^{\circ}

{1.6}^{\circ}

{1.4}^{\circ}

answer is A.

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Detailed Solution

Here,r=100cm, length=22cm.
As we know, arc of length,

θ = \frac{l}{r}

θ = \frac{22}{100}

rad

∵ π rad = 180^{\circ}

1 rad = \frac{180^{\circ}}{π}

∴ \frac{22}{100} rad = \frac{180^{\circ}}{π} \times \frac{22}{100}

\frac{22}{100} rad = \frac{180^{\circ}}{22} \times \frac{22}{100} \times 7

\frac{22}{100} rad = {12.6}^{\circ}

Correct option is 1.

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