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Home  >>  CBSE XI  >>  Math  >>  Trigonometric Functions

Find the angle in radian through which a pendulum swings if its length is 75cm and the tip describes an arc of length 10cm

$\begin{array}{1 1}(A)\;2\; radian&(B)\;\large\frac{2}{15}\normalsize radian\\(C)\;\large\frac{2}{17}\normalsize radian&(D)\;\large\frac{3}{10}\normalsize radian\end{array} $

1 Answer

Toolbox:
  • $\theta=\large\frac{l}{r}$
  • $\theta$=angle subtended by arc
  • $l$=length of the arc
  • $r$=radius of the circle
Given :
Length =10cm
Radius=75cm
$\theta=?$
We know that $\theta=\large\frac{l}{r}$
$\Rightarrow \large\frac{10}{75}$ radians
$\Rightarrow \large\frac{2}{15}$ radians
Hence (B) is the correct answer.
answered Apr 16, 2014 by sreemathi.v
 

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