Find the area of the square that can be inscribed in a circle of radius .
Answer:
- Let us draw a circle with as a center and radius .
Now, let us draw a square inside the circle. We see that the diagonal of the square is equal to the diameter of the circle.
Radius of the circle =
So, diameter of the circle Radius
Therefore, diagonal of the square - Using Pythagores' theorem in , we have
- We know,
- Thus, the area of the square that can be inscribed in a circle of radius is .