How To Draw A Pentagon With A Compass

We start with the given circle, center O.

Annotation: If you are not given the heart, yous tin notice it using the method shown in Finding the eye of a circumvolve with compass and straightedge.

one.Draw a diameter of the circle through the center betoken and mark its endpoints C and Chiliad. It does not have to exist vertical.

ii.Construct a perpendicular to CM at the point O.

For more on this see Amalgam a perpendicular at a point on a line.

3. Mark the betoken S where it crosses the circle.

4. Observe the midpoint L of the segment SO by amalgam its perpendicular bisector.

For more on this encounter Constructing the perpendicular bisector of a line segment.

5.Gear up the compasses on 50, adjust its width to South or O, and depict a circle. half dozen. Draw a line from One thousand, through L so it crosses the minor circumvolve in two places. Label them North and P. 7. Set the compasses on Yard and accommodate its width to P. 8. Draw a wide arc that crosses the given circle in two places. Label them A and E. 9. Set the compasses on M and adjust its width to North. 10. Depict a wide arc that crosses the given circle in two places. Label them B and D. xi. Draw a line from A to B, then B to C etc, until you accept drawn all v sides of the pentagon. Done. ABCDE is a regular pentagon inscribed in the given circle.

Source: https://www.mathopenref.com/printinpentagon.html

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