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  4. The angle in radian through which a pendulum swings and its length is 75 cm and tip describes an arc of length 21 cm, is

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Q. The angle in radian through which a pendulum swings and its length is $75 \,cm$ and tip describes an arc of length $21 \,cm$, is

Trigonometric Functions

Solution:

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Given, length of pendulum $=75\, cm$
Radius $( r )=$ length of pendulum $=75 \,cm$
Length of arc $(l)=21 \,cm$
Now, $\theta=\frac{l}{r}=\frac{21}{75}=\frac{7}{25}$ radian