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.
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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
You have to determine the value of pi squared.
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.
None unless you draw some inside. ^ Terrible answer: There can be many different numbers of squares inside a circle. As the size of the squares goes to zero, the number of squares goes to infinity.