In the figure given below \( \mathrm{AB}=36 \mathrm{~cm} \) and \( \mathrm{M} \) is mid-point of...

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In the figure given below \( \mathrm{AB}=36 \mathrm{~cm} \) and \( \mathrm{M} \) is mid-point of \( \mathrm{AB} \), semi-circles sides are drawn on \( \mathrm{AB}, \mathrm{AM} \) and \( \mathrm{MB} \) as diameters. A circles with centre \( \mathrm{C} \) touches all the three circles. Find the area of the shaded region.
a. \( 44 \pi \mathrm{cm}^{2} \)
b. \( 45 \pi \mathrm{cm}^{2} \)
c. \( 46 \pi \mathrm{cm}^{2} \)
d. \( 47 \pi \mathrm{cm}^{2} \)
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