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
Mensuration (10)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 π = 3.14]
Answer
Radius of each are drawn = 6 cm
Area of one quadrant = (3.14) x $ \frac{36}{4} $
Area of four quadrants = 3.14 x 36 = 113.04 cm2
Area of square ABCD = 12 x 12 = 144 cm2
Hence, Area of shaded region = 144 - 113.04
= 30.96 cm2
Exam Year:
2018
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