Question

A circle is inscribed in a square. Find the ratios of the area of circle to that of square.

Answer 1

this is answer.............

Answer 2

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$\huge\mathfrak\blue{Question:}$

A circle is inscribed in a square. Find the ratios of the area of circle to that of square.

$\huge\mathfrak\red{Solution:}$

Let r be the radius of the circle, so, hence the side of the square would be 2 × r.

Now, we know that

Area of circle = π × r^2

and

Area of square = (2 × r)^2 = 4 × r^2

then on dividing the area of the circle by the area of the square, we get,

π × r^2 / 4 × r^2 = π/4

Ratio of area of circle to area of square = π : 4

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