Angle subtended at centre of a circle of radius 3 metres by an arc of length 1 metre is equal to

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3.Trigonometrical Ratios, Functions and Identities

easy

The angle subtended at the centre of a circle of radius $3$ metres by an arc of length $1$ metre is equal to

A

$20°$

B

$60°$

C

$\frac{1}{3}$ radian

D

$3$ radians

Solution

(c) Given that radius $(r) = 3m$ and arc $(d) = 1m$

We know that ${\rm{Angle}} = \frac{{{\rm{arc}}}}{{{\rm{radius}}}} = \frac{1}{3}radian.$

Standard 11

Mathematics

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