. The area of the shaded region, shown in the diagram below, is:
A. 29cm2
B. 30cm2
C. 30.5cm2
D. 32cm2
Best Answer
Answer ||| C
Solution ||| Clearly Diameter of the circle = Diagonal BD of rectangle ABCD
∴ Diameter =
Let r be the radius of the circle . Then , r = (10/2) cm = 5 cm
Area of rectangle ABCD = AB × BC = (8 × 6) cm2 = 48cm2
Area of the circle = πr2 = 3.14 × (5)2 cm2 = 78.50cm2
Hence,
Area of the shaded region = Area of the circle – Area of rectangle ABCD
= (78.50 - 48) cm2 = 30.50 cm2
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