How do I draw a circle that is also a square? Is that possible?

Question

Title explains it all.

Answer 1

A circle is not made up of straight line segments. A square is. This is impossible.

You may be looking for this:
http://en.wikipedia.org/wiki/Cyclic_quadrilateral

And this might help you clarify your question:
http://www.cut-the-knot.org/Curriculum/Geometry/CyclicQuadrilateral.shtml

Now, if you want a circle that has the same AREA as a square... well, that is also impossible. See:
http://en.wikipedia.org/wiki/Squaring_the_circle

Of course, there's always the one trick answer:

0 is a square because 0=0²
But 0 is a circle. Just look at it! :p

And one degenerate answer:

A single point is a square and a circle, because it is a degenerate case of both:
http://en.wikipedia.org/wiki/Degeneracy_%28mathematics%29

Answer 2

Aside from the play on words of it being a 'squared' value you can draw a circle that is also a square if you take into consideration dimensions. by adding or taking away dimensions from a circle or a square you can force it to fit within the boundries of the other shape. An oversimplified example of this is imagine a rubber ring that is a circle. Pinch to opposing sides toward you and the two perpendicualr angles away from you. you have created an shape with length, width and height but when you remove the depth portion of that shap (and when viewed from the correct angle) it becomes a square but is at the same time still a circle. Another way to look at this is to draw two perpendicular diameter lines in the circle (intersecting in the middle of course). If the definition of a square is any 4 sided/cornered object with equal angles and equal sides then you've drawn it and it is still a circle. idk, i'm just thinking outside the squared circle(boxing ring)=).

Answer 3

Of course it's possible to draw a circle that's also a square. It's a closed space curve, so that from one viewpoint it has the shape of a perfect circle, yet from another viewpoint it has the shape of a perfect square. No big deal. Imagine a solid round rod with a square hole punched out crosswise, the diagonal of the square being equal to the diameter of the rod. Then the edge of this punched out piece would have 2 such space curves intersecting each other.

Answer 4

Is this a play on words?

The area of a circle can EQUAL a "square" NUMBER, i.e., 4, 16, 81... the circumference can be a square.

But a circle cannot, by definition, be the same shape as a square.

Answer 5

No thats not possible...
Square- a rectangle with all four sides equal.
Circle- a closed plane curve every point of which is equidistant from a fixed point within the curve.

Answer 6

first draw a circle and then inside it draw a square!

Answer 7

It is impossible.

Sqaures rule is all sides should be equal and the angel of each side should be ninety degree and yes only 4 sides. Circle does not have anysides to it

Answer 8

Do you mean a circle circumscribed or inscribed on a square or vise versa?

Answer 9

What sort of nonsense are you on about?

Answer 10

Hmm....taco....?