How to SQUARE a CIRCLE

Ever wondered how to make square equal to that area of circle. What’s the big deal? Measure area of circle and equate to that of square then find the length of square and make it. But hey, that’s quite elementary job. You will need calculator to calculate the root and scale to measure the length.

Here is simple tutorial to how to do it geometrically:-

Steps:-

1.     Draw the circle that you are given:-

2.     Draw the diameter:-

Note: Not knowing the center you may not make diameter. Here is how to find center:-

a.     Draw two chords such that they aren’t parallel and draw perpendicular bisector from each chord so that they meet at a point.

That point will be your center.

3.     Draw tangent perpendicular to diameter and 3 times than that of diameter

4.     Now make 30˚ line with diameter from the center as shown:-

5.     Drop perpendicular line to diameter as shown:-

6.     Draw blue line as shown:-

You have drawn line (Blue line) equal to 3.14174~PI taking diameter as 1.

7.     Now draw perpendicular bisector of blue line, line being equal to radius:-

8.     Now complete the rectangle as shown:-

Rectangle ABCD is equal to circle.

9.     Now for making a square. Put compass needle at A and with measurement AD to cut a blue line at 2 sides.

10.                         Draw perpendicular line from Y.

11.                         Take compass needle at B and with measurement BX cut green line and bisect it.

12.                        Last Step. QY will be equal to side of square. Complete the square.

Congrats! You are done. YNMQ is required Square.