Question

Find the area of the square
The radius is 10

Answer 1

Given:

• Half of diagonal: 10 units

To find the diagonal, multiply half the diagonal by 2.

• => Diagonal = 2(Half of diagonal)
• => Diagonal = 2(10) = 20 units

We also know that the sides of the square are equal. Let's use Pythagoras theorem to solve for the side length (c).

• => 20² = c² + c²
• => 400 = 2c²
• => 200 = c²
• => c = √200 = 10√2

Square the side length to obtain the area of the square.

• => (10√2)² = Area of square
• => (10√2) x (10√2) = Area of square
• => 100 x 2 = Area of square
• => 200 units² = Area of square

The area of the square is 200 units²

Answer 2

Since half of the diagonal of the square is 10, that means the whole diagonal is 20.

Area of the square =
`(1)/(2) *(20)^(2) =200`

Thus the area is 200. Hope that helps!