Question

the design of an iron grill is in the form of a square circumscribing a circle of radius 7cm. find the between the square and circle

Answer 1

Solution :-

As the square is circumscribing the circle, so length of each side of the square will be exactly equal to the diameter of the circle.

Radius of circle = 7 cm

Then, length of each side of the square = 7*2 

= 14 cm

Area of the square = Side* Side 

= 14*14

= 196 cm²

Area of the circle = πr²

⇒ 22/7*7*7

= 154 cm²

Now, area of the portion between the square and the circle 

= Area of the square - Area of the circle 

⇒ 196 - 154

= 42 sq cm

Answer.