Find the area of a square with the radius 6√2 m. Round to the nearest whole number.

A)51m^2
B)72m^2
C)144m^2
D)196m^2

My answer is B.

I have a hunch that you mean a circle, not a square. Squares do not have radii.

If so:
A = pi r^2
= (22/7)(36)(2)
about 6*36 or 216

On the other hand if it is a square with side (not radius) = 6 sqrt 2
then
36*2 = 72 so B

I just found out that a square can have a radius. But I don't know how to solve this problem.

http://sciencing.com/calculate-radius-square-2806.html

Interesting article, but since when does √72 = 2.913 ??

2.913 = √√72

well, the distance from center to corner by that definition is 6 sqrt 2

so the diagonal of the square is 12 sqrt 2
so the side of the square is 12
so the area is 144

Thank you Anonymous

To find the area of a square, you need to know the length of one of its sides. In this case, you are given the radius of a circle, not the side length of the square. Therefore, you would need to find the side length of the square using the given radius.

Since the radius of the circle is given as 6√2 m, we know that the diagonal of the square is equal to twice the radius, because a diagonal of a square is equal to the diameter of its circumscribed circle. So the diagonal of the square is 2 * (6√2) = 12√2 m.

To find the side length of the square, you can use the diagonal and the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the diagonal of the square is the hypotenuse, and the two sides are the side length of the square.

Using the Pythagorean theorem, we can write:

(side length)^2 + (side length)^2 = (diagonal)^2

Let's call the side length of the square "s":

s^2 + s^2 = (12√2)^2

2s^2 = 144(2)

2s^2 = 288

Divide both sides by 2:

s^2 = 144

Take the square root of both sides to find s:

s = √(144)

s = 12

Now that we know the side length of the square is 12 m, we can calculate its area by squaring the side length:

Area = (side length)^2
Area = 12^2
Area = 144 m^2

The area of the square is 144 m^2, which is the same as option C) 144m^2.