10th Class Mathematics Solved Paper - Mathematics-2018

  • question_answer
    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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