Question

1. Find the area of the shaded region in the fig., where ABCD is a square of side 28 cm.
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Answer 1

Answer:

19.84cm.sq is the answer.

Answer 2

Answer:

168 cm²

Step-by-step explanation:

Side of the square = 28 cm

Area of the square ABCD = side²

= (28 cm)²

= 784 cm²

Now, diameter of one circle is half the length of the side of the square

d = ½ × 28 cm

d = 14 cm

Radius is half the diameter.

r = d/2 = 14/2 = 7 cm

Area of a circle = πr²

= 22/7 × 7²

= 22 × 7 cm²

= 154 cm²

All the circles have the same radius.

Area of 4 circles = 4 × 154 cm²

= 616 cm²

Area of the shaded region = Area of the square ABCD – Area of 4 circles

= 784 cm² – 616 cm²

= 168 cm²