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Squaring the circle was proven to be impossible by the German mathematician Ferdinand Lindemann in 1882.

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Q: How do you square a circle using only a straight edge and compass?
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How do you get a perpendicular line?

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.


People tried for centuries to square the circle what were thay trying to do?

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.


How you would construct a regular hexagon using a compass?

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.


What is the area of a circle if the diameter is 35mm?

Using 3.14 as Pi the area of circle is: 961.625


What is the formula using pi for the area of a circle?

area of a circle is equal to pi times the square of its radius.. A=(pi)r^2

Related questions

What does square the circle mean?

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.


What does it mean to 'square a 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.


Is it possible to construct a regular hexagon using only a straight edge and a compass?

Yes. The related link shows the procedure with pictures. Basically, draw a circle with the compass, then without changing the compass, put the point somewhere on the circle and make a small mark which intersects the circle. Now put the point at this intersection, and make another mark with the circle. Keep going until you have 6 marks, then take your straight edge and connect the marks.


How do you convert a circle into a square?

A circle can be converted into a square by drawing 4 lines parallel to the edges until they connect. The inner circle can then be erased; leaving a square with the same diameter or width.


How do you draw a circle in assembly program?

You can draw a circle in assembly program by using a compass-like tool. Secure the tip of the compass and then rotate the compass tool so that it completes the circle.


What is a drawing created using a compass and straight edge?

A drawing created using a compass and straight edge is called a construction.See http://en.wikipedia.org/wiki/Compass_and_straightedge_constructions


Which geometric figure is drawn using only a compass?

circle


How do draw a circle with a compass?

To draw a circle with a compass, first set the distance between the point and the pencil of the compass using a ruler. This distance is the radius. Now, place the point on the paper where you want the center of the circle. Spin the compass around the point, lightly dragging the pencil on the paper, and you will have a circle.


What kind of job requires using a compass or straight edge?

being an archetect requires a compass, straight edge and many other tools


Can a 65 degree angle be trisected using only a compass and straightedge?

An angle of 65° can not be trisected using a compass and straight edge.


How do you get a perpendicular line?

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.


What is the difference between circle and round?

Circle is geometrical figure it is made by using compass box and round is shape of circle there is no need of compass box to made up round