# How To Divide A Circle In Three Equal Parts

How To Divide A Circle In Three Equal Parts. This can be done by drawing two chords of the arc and then drawing the. Depending on the number, these sectors have a certain angle.

The second set of marking cuts have a cosine of 1/2 (half the radius compared to radius). These circles will cross the original circle at the original point, and at two new points. 2x that angle makes a 120 degree angle between the parts, which is what you need to form a perfect three way split on a 360 degree circle.

### Let \$X_K\$ Be The Angle Of A Red Line With The Diameter.

This can be done by drawing two chords of the arc and then drawing the. Observe the essential difference between the cases with even and odd \$n\$. This is an easy way to construct an equilateral triangle.acces.

### A Circle Is Divided Into A Number Of Sectors (Pie Slices).

The figure shows the division of the arc in 3 equal parts. The second set of marking cuts have a cosine of 1/2 (half the radius compared to radius). If playback doesn't begin shortly, try restarting your device.

### Then, Extend Those Two Lines Into The Other Half Of The Circle To The Opposite Edges To Create 6 Wedge Shapes.

Basically, the perpendicular bisector of a line cuts it in half and is easy to construct. Keep the compass open at the same radius. I am having trouble getting started on this question, mainly because i have no idea how to find the areas of the 3 pieces.

### Whereas In Former Case The Diameter Drawn From The Common Intersection Point Is One Of The Red Lines, In The Latter Case It Is The Bisector Of The Central Angle.

120 deg increments of this would be 12.5668 or 12 1/2 so ever 12 1/2 you make a mark then draw a straight line between the center and the 3 points and now you have 3 equal parts. Set a compass at points a and b, scribe the two arcs as shown, and label their intersection as point c. But not everyone understands this way so heres an easier way, it's easier to divide a circle into 12 halves by just dividing the circle in half 6 times then skip ever third line making a mark at lines 4, 8 and.

### Yes It Divides Also The Green Circle In Three Equal Parts.

First we have to find the centre of the arc. These circles will cross the original circle at the original point, and at two new points. Draw line ab through the center of your circle, and divide it equally into the number of parts you want.