Question

in the given figure, four equal circles are described about the four
corners of a square so that each circle touches two of the circles as
shown in the figure. Find the area of the shaded region, each side of
the square measuring 14 cm​

Answer 1

Consider the figure shown.

Now, four sector of the circles inside the square forms a circle of radius = 7cm.

So, Area of shaded region or the area enclosed between the circumference = Area of square- Area of circle formed

Hence area enclosed between circumference =(14

2

)−(πr

2

)

Area of the shaded region =(196)−(

7

22

×7×7)

=42cm

Step-by-step explanation:

hope it helps you