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Seven circles, each with radius 1, overlap to form the composite figure shown below. Find the area of shaded region?

2π

We can clearly see 6 "petals" (inner) and 6 "funnels" (outer). Now,

So the area is 2πr^2 = 2π

7 non-overlapping unit circles are inscribed inside a large circle as shown below. Find the area of the shaded region?

Two congruent circles of radius 5 cm are drawn in such a way that one is 1 cm below the other . Find the area of red coloured region?

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A circle has a radius of 12 units and its center is at one vertex of a square. The square has a side of 12 units. Find the area of the shaded region?