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.
A cuboid cylinder is an impossible shape - just as a square circle is.
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.
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.