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The numerical value of the area of a circle is equal to that of the perimeter of a semicircular disc, both having equal radius. The radius is:
- (a)$1$ unit
- (b)$2$ units
- (c)$\frac{\pi+2}{\pi}$ units
- (d)$\frac{2\pi+2}{\pi}$ units
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(C) $\frac{\pi+2}{\pi}$ units