If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?

A 119.21 sq cm

B  115.395 sq cm

C 104.214 sq cm

D 111.241 sq cm

Solution

Correct Answer: Option B

Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is \(\mathbf4\left(\frac{\mathbf3}{\mathbf4}\boldsymbol\times\frac{\mathbf{22}}{\mathbf7}\boldsymbol\times\mathbf3\boldsymbol.\mathbf5\boldsymbol\times\mathbf3\boldsymbol.\mathbf5\right)\)

115.3955 sq cm.

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