what is the area of a square with a radius of 9?


I think the answer is 18 square
or 324
Thank you

324 is wrong.

To find the area of a square, you need to know the length of its sides, not the radius. The radius is relevant for calculating the area of a circle. However, a square doesn't have a radius.

If you know the length of one of the sides of the square, you can simply square that value to find the area.

In this case, if a square has a side length of 9 units, the area is calculated as follows:

Area = Side Length^2 = 9^2 = 81 square units

Therefore, the correct answer is 81 square units, not 18 or 324.

To find the area of a square, we need to know the length of one side, not the radius. The radius is generally used to calculate the area of a circle.

In the case of a square, all four sides are equal in length. So, if the radius of the circle is given, we can use it to find the length of one side of the square.

First, let's clarify that a circle does not have a radius; it has a diameter. However, assuming you are referencing the diameter of the circle, the radius can be found by dividing the diameter by 2. In this case, if the radius is 9, the diameter would be 2 * 9 = 18.

Now, since we know the diameter (which is the same as the length of the diagonal of the square), we can use the Pythagorean theorem to find the length of one side of the square. The theorem states that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.

In the case of a square, both of its diagonals are equal in length, and each diagonal divides the square into two congruent right-angled triangles. So, we can use half of the diagonal as one side of the right-angled triangle.

Using the Pythagorean theorem, we have:

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

(side)^2 + (side)^2 = 18^2 / 2

2(side)^2 = 324 / 2

2(side)^2 = 162

(side)^2 = 162 / 2

(side)^2 = 81

Taking the square root of both sides, we get:

side = √81

Since the square root of 81 is 9, the length of one side of the square is 9.

Now that we know the length of one side, we can calculate the area of the square by squaring the side length:

area = side^2 = 9^2 = 81 square units.

Therefore, the correct answer is 81 square units, not 18 or 324.

A square with a radius? I thought only a circle had a radius.

What do you mean?