3.Trigonometrical Ratios, Functions and Identities
easy

Find the angle in radian through which a pendulum swings if its length is $75\, cm$ and the tip describes an arc of length.

$15\,cm$

A

$\frac{1}{5}$

B

$\frac{1}{5}$

C

$\frac{1}{5}$

D

$\frac{1}{5}$

Solution

We know that in a circle of radius $r$ unit, if an arc of length $l$ unit subtends

An angle  $\theta$ radian at the centre, then $\theta=\frac{l}{r}$

It is given that $r=75\, cm$

Here, $l=15\, cm$

$\theta=\frac{15}{75}$ radian

$=\frac{1}{5}$ radian

Standard 11
Mathematics

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.