A) \[\text{119 c}{{\text{m}}^{\text{2}}}\]
B) \[\text{1}0\text{5 c}{{\text{m}}^{\text{2}}}\]
C) \[\text{152}\,\text{c}{{\text{m}}^{\text{2}}}\]
D) \[\text{123 c}{{\text{m}}^{\text{2}}}\]
Correct Answer: A
Solution :
Combine the shaded parts in the given figure as in the following figure. Radius of circle\[~=\text{28 cm}\div \text{4}=\text{7 cm}\] Area of quadrant\[=\frac{1}{4}\times \frac{22}{7}\times 7\times 7\]\[=\text{ 38}.\text{5 c}{{\text{m}}^{\text{2}}}\] Area of shaded region \[\text{=(14}\times \text{14)}-\text{38}.\text{5}~-\text{ 38}.\text{5}\] \[=\text{196 c}{{\text{m}}^{\text{2}}}-\text{77 c}{{\text{m}}^{\text{2}}}=\text{119 c}{{\text{m}}^{\text{2}}}\]You need to login to perform this action.
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