Finding the center of a circle using any right-angled object
An easy way to find the center of a circle using any right-angled object. Here we use a 45-45-90 drafting triangle,
but anything that has a 90° corner will do, such as the corner of a sheet of paper.
Click on 'Next' to go through the construction one step at a time, or click on 'Run' to let it run without stopping.
This page shows how to find the center of a circle using any right-angled object. This method works as a result of using
in reverse. The diameter of a circle
to any point on the circle. By placing the 90° corner of an object on the circle, we can find a diameter. By finding two diameters we establish the center where they
Printable step-by-step instructions
The above animation is available as a
printable step-by-step instruction sheet, which can be used for making handouts
or when a computer is not available.
Why it works
This method works as a result of Thales Theorem. The
diameter of a circle
right angle to any point on the circle. The converse is also true:
A right angle on the circle must cut off a diameter. By finding two diameters, we find the center where they
Visit Thales Theorem for an animated description of how this works.
Other constructions pages on this site
Circles, Arcs and Ellipses
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