Question

in the given figure the dude of square is 28 cm and radius of rang circle is half of the length of the sides of the square where O and O are centres pits the circles find the area of the shaded region

Answer 1

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Answer 2

Answer:

The area of shaded region is 1708 cm².

Step-by-step explanation:

Given :

Side of a square = 28 cm

Radius of circle = half of the length of the side of a square

Radius of circle,r  = ½ × side of a square

r = ½ × 28  

r = 14 cm

Radius of circle = 14 cm

Area of shaded region , A = Area of a square + Area of two circles - Area of two quadrants

A = side² + 2 × πr² - 2 × ¼ πr²

A = side² + (2 × πr² - ½  πr²)

A = side² + (4πr² - 1πr²)/2

A = side² + 3πr²/2

A = 28² + 3 × 22/7 × 14² × ½

A = 28² + 3 × 11 × 2 × 14

A = 784 + 924

A = 1708 cm²

Area of shaded region = 1708 cm²

Hence, the area of shaded region is 1708 cm².