How to inscribe a regular octagon in a given circle
HOME > Mathematics > How to inscribe a regular octagon in a given circle

# How to inscribe a regular octagon in a given circle

[From: ] [author: ] [Date: 11-05-20] [Hit: ]
Bisect the right angles. extend these angle bisectors to the circle. join the points on the circle.-1.Find the center of the circle.This may be a given point,......
For constructions in geometry.

-
Draw the circle. Put in a diameter. construct the perpendicular bisector of this diameter, extended to the circle. Bisect the right angles. extend these angle bisectors to the circle. join the points on the circle.

-
1. Find the center of the circle. This may be a "given" point, but if not, take 3 arbitrary points on the circle A, B, and C. The center is where the perpendicular bisector of AB meets the perpendicular bisector of BC. (Remember the perpendicular bisector of a chord is a diameter).

2. Once you find the center O, take an arbitrary point D and draw the line OD and note its intersection E with the circle. DE is a diameter of the circle.

3. Construct FG another diameter which is the perpendicular bisector of DE. You now have a square DFEG.

4. Bisect the angles
1
keywords: regular,given,How,inscribe,octagon,in,circle,to,How to inscribe a regular octagon in a given circle
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .