$\begin{array}{1 1}(A)\;150cm&(B)\;160cm\\(C)\;168cm&(D)\;178cm\end{array} $

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- Radian measure =$\large\frac{\pi}{180}\times$ Degree measure
- $\theta=\large\frac{l}{r}$

Here

$l=132cm$

$\theta=45^{\large\circ}$

Radian measure =$45\times \large\frac{\pi}{180}$

$\Rightarrow \large\frac{\pi}{4}$ radians

Now,by $r=\large\frac{l}{\theta}$

We have

$r=132\times \large\frac{4}{\pi}$cm

$\Rightarrow 132\times 4\times \large\frac{7}{22}$cm

$\Rightarrow 168$cm

Hence (C) is the correct answer.

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