to construct (using a compass and straight-edge) a square with the same area as a given circle using only a finite number of steps. "Squaring the circle" was an ancient problem that has been proved impossible to do.
to construct (using a compass and straight-edge) a square with the same area as a given circle using only a finite number of steps. "Squaring the circle" was an ancient problem that has been proved impossible to do.
Yes
A cardioid is the line a point on the edge of a circle traces when the circle is rolled around a circle of equal radius. A nephroid is the line a point on the edge of a circle traces when the circle is rolled around a circle of twice the radius.
Question is impossible to answer. What did you mean? ----
Attempt to do something that is impossible.
Squaring the circle is something that's impossible to do.
-- I give you a circle, a compass, a straight edge, and a pencil. -- Your job: Construct a square that has the same area as the circle I gave you. In 1882, it was mathematically proven to be impossible.
Yes. A square with the same area as a unit circle.
to construct (using a compass and straight-edge) a square with the same area as a given circle using only a finite number of steps. "Squaring the circle" was an ancient problem that has been proved impossible to do.
A cuboid cylinder is an impossible shape - just as a square circle is.
Squaring the circle was proven to be impossible by the German mathematician Ferdinand Lindemann in 1882.
Squaring the circle is a problem handed down from ancients. It involves taking a known circle and drawing a square that has an equal area. It was proved to be impossible in the late 1800's. A link to the Wikipedia article is included.
You cannot have a trapezoidal cylinder. That is like a square circle - an impossible shape.
An answer is impossible because there are no cubic units within a circle but only square units
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Finding a circle with the same area as a square is known as squaring the circle. It has been proven to be impossible. (this was done in 1882) I have included some references as links to explain why this cannot be done. If you have a circle inscribed a square, then its radius is 1/2 of the side length of the square or its diameter is the length of a side. If this is what you mean then the ratio of the side of the square to the radius of the circle is 1 to 1/2 or 2 to 1.