If four equal circles of radius 5 cm touch each other externally, then area of the region bounded by the four circles is?
Answer & explanation
Correct answer: option 4
Side of the square ABCD = 2r
Area of shaded region = area of square ABCD - 4 ( area of sector )
= (side)2 - 4 × ( \(\frac{90}{360}\)πr2)
= (2r)2 - 4 × \(\frac{1}{4}\) × π(5)2
= (100 - 25π) sq. cm