Question

Find the area of the shaded region in the
given figure, where ABCD is a square of
side 28 cm.
[CBSE 2011]​

Answer 1

Answer:

68 sq. cm

Step-by-step explanation:

Diameter of 2circle = one side of the square

Therefore, radius of 1 circle;

$28 \div 2 \times 2 = 7cm$

Area of shaded region = area of square - ate of 4 cicles

$=( side \times side) -( \pi \: r {}^{2} \times 4) \\ = (28 \times 28) - (\pi \times 7 \times 7 \times 4 ) \\ = 784 - (\pi \: \times 196) \\ = 784 - (22 \div 7 \times 196) \\ = 784 - (4312 \div 7) \\ = 784 - 616 \\ = 68cm {}^{2}$

Therefore,

area of the shaded portion is 68 sq. cm

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