| In figure, where arcs drawn with centres A, B, C and D intersect in pairs at mid-points P, Q, R and S of the sides AB, BC, CD and DA respectively of a square ABCD of side \[\text{12 cm},\] (Use \[\pi =3.14\]) the area of the shaded region is: (NCERT EXEMPLAR; CBSE 2018) |
 |
A) \[122\,c{{m}^{2}}\]
B) \[144\,c{{m}^{2}}\]
C) \[134\,c{{m}^{2}}\]
D) \[154\,c{{m}^{2}}\]
Correct Answer: B
Solution :
| [b] Given, length of the side of square \[ABCD=12cm\] |
| \[\therefore \] Area of square |
| \[ABCD={{(Side)}^{2}}={{(12)}^{2}}=144c{{m}^{2}}\] |
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