Answer:
- Since the question is incomplete, see the figure attached and the explanation below.
Explanation:
Since the figure is missing, I enclose the figure of a square inscribed in a circle.
Since the area of a square is the side length squared, you can determine the side length:
[tex]side\text{ }length=\sqrt{100cm^2}=10cm[/tex]
From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:
- diagonal² = (10cm)² + (10cm)² = 2 × (10cm)²
[tex]diagonal=\sqrt{2\times (10cm)^2}\\ \\ diagonal=10\sqrt{2} cm[/tex]
The area of the circle is π (radius)².
- radius = diameter/2 = diagonal/2
[tex]area= \pi \times (5\sqrt{2}cm)^2=50\pi cm^2[/tex]
