 ## Book: RS Aggarwal - Mathematics

### Chapter: 18. Area of Circle, Sector and Segment

#### Subject: Maths - Class 10th

##### Q. No. 42 of Exercise 18A

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42
##### In the given figure, find the area of the shaded region, where ABCD is a square of side 14 cm and all circles are of the same diameter. Given:

Side of square = 14 cm

Let the radius of each circle be ‘r’ cm

Then, 2r + 2r = 14 cm

4r = 14 cm

r = = Area of square = side × side = 14 × 14 = 196 cm2

Area of circle = πr2

Area of 4 circles = 4 × πr2

= 4 × × × = 22 × 7 = 154 cm2

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

= 196 -154 = 42 cm2

Hence, the area of shaded region is 42 cm2.

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