Find the area of the shaded region in Fig. 2, 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 12 cm, [Use \[\pi =3.14\]] |
Answer:
Given, ABCD is a square of side 12 cm. P, Q, R and S are the mid points of sides AB, BC, CD and AD respectively. Area of shaded region = Area of square \[-4\times \]Area of quadrant \[={{a}^{2}}-4\times \frac{1}{4}\pi {{r}^{2}}\] \[={{(12)}^{2}}-3.14\times {{(6)}^{2}}\] \[=144-3.14\times 36\] \[=144-113.04\] \[=30.96\,\,c{{m}^{2}}\]
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