square inside of circle radius 3 square root 2 find area. need help?

Question

find area and perimeter of square

Answer 1

If the square fits perfectly in the circle, the diameter of the circle (d) will equal the diagonal of the square. The diameter equals two radii.

d = 2 * r = 2 * 3√2 = 6√2

Therefore the diagonal of the square is 6√2 units long.

Then, from Pythagorean theorem, the side length (s) squared plus the side length squared equals the diagonal squared.

(s)^2 + (s)^2 = (6√2)^2, then simplify by combining the s terms

2(s^2) = (6√2)^2, then take the square root of both sides

√2 * s = 6√2, then divide both sides by √2

s = 6

So your side length is 6. The area (A) of a square is side length squared, and the perimeter (P) is 4 times the side length.

A = 6 * 6 = 36
P = 6 * 4 = 24

Answer 2

That sounds easy enough.

1. Draw a diagram. Draw a radius going from the centre of the circle to one of the corners of the square. Call this point a. Call the centre of the square b.

2. Draw a line from the centre to the middle of one of the sides of the square. The point where this line meets the square is called c.

3. Note that c to a is the same length as c to b. Now, you know a to b, so calculate a to c and b to c.

4. Calculate the area and perimeter of the square.

Answer 3

I couldn't get which one you meant so here are two different answers: If the circle is inside the square: Radius is 1 so one edge of square is 2 and area of square is 4. Then area of circle is 3x1^2=3. 4-3=1 so the answer is 1/4 If the square is inside the circle: One diagonal line of square is 2 so one edge is \/2. Area of square is \/2x\/2=2. Area of circle is again 3. 3-2=1 so it is 1/4 again

Answer 4

Diameter of circle = 6 x root 2 = diagonal of square
let sides of square be x-:
(6 x root 2)² = x² + x²
36 x 2 = 2x²
72 = 2x²
36 = x²
x = 6
Area of square = 6 x 6 ft² = 36 ft²

Answer 5

This means that the distance from the center of the square to one corner will also be 3 times the square root of 2.
That forms the diagonal of a right triangle. You have learned the pythagorean theorem.
a2 + b2 = c2 (sorry, I can't write squared the right way.)
a and b are each the same because they are half the length of one side. So a2 + a2 = c2 where c is 3 times the square root of 2.

a2+a2 = 2 a2 So 2 a2 = 9 times 2 (by taking 3 times the square root of 2 times itself.) 2 a2 = 18 So a2 = 9 So a = 3

Since half the length of one side is 3, each side of the square is 6, so the area is 36 square units.

Answer 6

18

Answer 7

Square inside of a circle or circle inside of a square?

Answer 8

yeah you sure do. answer is 2pix4.5square to the power of 3.14


I don't want to brag but I didn't even use a calkulator I used me fingers to work this one out.

Answer 9

what?? You need to state the question. You didn't write it properly.