Quadrilateral
Squaring the Circle
-- 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.
Square, rectangle or and circle but an circle is not a polygon,
Sure. It's called a "square"; you can consider the square a special case of a rectangle.
you construct a square by doing tattee on it look for the tattee.
Squaring the Circle
they were trying to construct a square that perfectly circumscribes (surrounds) a given circle.
a square in a circle
-- 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.
Square, rectangle or and circle but an circle is not a polygon,
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 square will always be larger than a circle with the same diameter. Draw a square, then draw a circle that fits inside the square exactly (that is, each of the four points shared by the two shapes exactly bisect each line of the square). The square contains the entire circle, plus all the extra area in the corners.
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.
Sure. It's called a "square"; you can consider the square a special case of a rectangle.
you construct a square by doing tattee on it look for the tattee.
Use as much of the string as is possible to make the circle. In the limit, the circumference of the circle is 50 inches and the perimeter of the square is 0. This gives a circle with an area of 198.94 sq inches and a square with an area of 0 sq inches. Any string moved from the circle to the square will reduce the total area.
If you had a circle and you halved it, exactly in the middle, then that line would be a line of symmetry! And it is the same with a square. If you halve it exactly in the middle then that would be called a line of symmetry! And then all the lines of symmetry in a square are down, across, diagonal from the left and then diagonal from the right! But in a circle there are LOTS of lines of symmetry!