The total plane angle subtended by a circle a | vedclass

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Question

(B) The plane angle $	heta$ subtended by an arc of length $s$ at the centre of a circle of radius $r$ is given by $	heta = \frac{s}{r}$.For a comple

Vedclass · Accepted Answer

$2 \pi$

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(B) The plane angle $	heta$ subtended by an arc of length $s$ at the centre of a circle of radius $r$ is given by $	heta = \frac{s}{r}$.For a complete circle,the arc length $s$ is equal to the circumference $2 \pi r$.Therefore,the total plane angle subtended at the centre is $	heta = \frac{2 \pi r}{r} = 2 \pi \, rad$.Thus,the correct option is $B$.

The total plane angle subtended by a circle at its centre is ......... $rad$.

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