20. TBQ - Prove the following

A square is inscribed in a circle of radius \(d\). Verify that the ratio of the area of the square to the area of the circle is equal to \(\frac{2}{\pi} \approx 0.637\).

 

 

 

Radius of the circle \(=\)

 

Area of the circle \(=\)

 

Area of the triangle \(BOC =\)

 

Total area of the square \(ABCD =\)

 

\(\frac{A_{\text{Square}}}{A_{\text{Circle}}} =\)

 

\(=\)

 

Hence proved.