Question

Please help me with #8

Answer 1

196 cm^2

Explanation:

The radius of the circle that is inscribed in this square is half of the side length. We know that the area of a square is just the side length squared. So, we can find the radius, double it, and then square it to find the area of our square.

We are told that the area of our circle is
`49\pi`. The area of a circle formula is
`\pi r^2`. This means that
`r^2\\` is 49, and r = 7. If the radius of the circle is 7 cm, the diameter (the side length of the square) is 14 cm. The area, therefore, is
`14^2=196 cm^2`

Therefore, the area of the square is 196
`cm^2`