Question

A square is inscribed in a circle. If the area of the square is 49 square units, what is the radius of the circle?

Answer 1

Answer:

B

Step-by-step explanation:

If it is inscribed in the circle that means all four corners of the square are touching the circle

so therefore the diagonal of the square is the diameter of the circle

the side lengths of the square as you know is 7 units ($\sqrt{49$) the length of the diagonal is $7\sqrt{2}$ heres how I know

If you cut the square in half through the centre diagonally you will get a right  isosceles triangle, using the pythagorus theorum

$7^2+7^2=C^2\\49+49=C^2\\98=C^2\\\sqrt{98}=C\\C=7\sqrt{x}$

Now we have the diameter

it's just half of that, so the answer is B