$\begin{array}{1 1}(A)\;\large\frac{8}{25}\normalsize radian&(B)\;\large\frac{6}{25}\normalsize radian\\(C)\;\large\frac{7}{25}\normalsize radian&(D)\;\large\frac{9}{25}\normalsize radian\end{array} $

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- $\theta=\large\frac{l}{r}$
- $\theta$=angle subtended by arc
- $l$=length of the arc
- $r$=radius of the circle

Given :

Length =21cm

Radius=75cm

We know that $\theta=\large\frac{l}{r}$

$\Rightarrow \large\frac{21}{75}$ radians

$\Rightarrow \large\frac{7}{25}$ radians

Hence (C) is the correct answer.

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