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

English

Gujarati

Hindi

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

Share

Similar Questions

If $x = a{\cos ^3}\theta ,y = b{\sin ^3}\theta ,$ then

easy

The value of $\frac{{\cot 54^\circ }}{{\tan 36^\circ }} + \frac{{\tan 20^\circ }}{{\cot 70^\circ }}$ is

easy

If $\tan \theta – \cot \theta = a$ and $\sin \theta + \cos \theta = b,$ then ${({b^2} – 1)^2}({a^2} + 4)$ is equal to

medium

Which of the following relations is possible

easy

Find the value of the trigonometric function $\cos ec \left(-1410^{\circ}\right)$

easy