Question

4 equal circles are described about the four corners of a square so that each touches two of the others as shown.Find the area of the shaded region, each side of the square measuring 14cm.
Please give the answer with brief explanation and step by step.
It's urgent.
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Answer 1

Answer:

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Step-by-step explanation:

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 =(142)−(πr2)

Area of the shaded region =(196)−(22/7×7×7)

=42cm