A circular plate has an area of 154 m². What will be the area of the biggest square that can be cut out of the plate?

The area of the circular plate = 154 m²

Let the radius of the circular plate = r

⇒ πr² = 154

⇒ r² = $\frac{154\times 7}{22}$

⇒ r = 7 m

The diameter of the circular plate = the diagonal of the square

⇒ 14 = the diagonal of the square

Let the side of the square be a m

⇒ a² + a² = (14)²

⇒ a² = $\frac{{14}^2}{2}$

⇒ The area of a square = 98 m²