Squaring the circle was proven to be impossible by the German mathematician Ferdinand Lindemann in 1882.
Chat with our AI personalities
To make perpendicular lines, draw a horizontal line. Then using a compass or tracing around the edge of a curved object, draw one circle ( or just a semi-circle) so that it crosses the horizontal straight line in at least one point. Now rotate the compass or move the curved object to draw another circle (or semi-circle). This second circle (or semi-circle) must cross through the horizontal straight line as the first one did. It also must cross through the first circle (or semi-circle) at two points- above the horizontal straight line and below the horizontal straight line. Next, draw a straight line from where the two circles (or semi-circles) meet above the horizontal straight line through to where they meet below the horizontal straight line. You now have a line perpendicular to the first line.
It is the challenge of constructing a square with the same area as a given circle by using only a finite number of steps with compass and straightedge. As pi (π) is a transcendental, rather than an algebraic irrational number, it cannot be done.
First draw a circle. Keeping the compass at the same angle; from any point on the circle's edge, draw another arc that intersects the circle's edge and (should) go through the centre as well. Repeat these arcs until you get back to the start. Using a ruler, connect the six intersect points on the edge of the circle and erase the construction lines.
Using 3.14 as Pi the area of circle is: 961.625
area of a circle is equal to pi times the square of its radius.. A=(pi)r^2