2.From any point on the circle A, make an arc of the same radius that cuts the circle at point B (it will also cut at another point).
3. Now if the points A and B are joined to the center (O), <AOB is 60 degrees.
4. Put the compass on both of A and B and draw arcs such that the two arcs touch each other inside and outside the circle at C and D respectively (any radius). If CD is joined, O will fall on this line, and <AOD=<BOD will be 30 degrees.
5. Let the point where line OD cuts the circle be E
6. One more time, the angle BOD or BOE is divided into, say BOF and FOE by repeating step 4 by drawing arcs centered at B and E. Hence <BOF=<FOE=15 degrees.
7. Therefore, <AOF=<AOD+<FOE= 30+15= 45 degrees.
8. Now measure the distance between A and point where OF cuts the circle (G) and set the compass to that length.
9. Cut arcs along the circle, with center on the next arc, and you will have the circle divided into 45 degree sections.
Divide the circle in half to get 180. Divide the halves in half to get 90. Then divide those quandrants in half to get 45. With pencil in hand and circle drawn, you should easily manipulate the compass or protractor to divide that circle. Go for it.
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Verified answer
It's called "a pair of compasses" like a "apir of pants" or a "pair of shoes", or a "pair of underwear".
Draw in the diameter, then bisect that
To bisect it:
1) Open the compasses to about 3/4 the length of the diameter of the circle
2) Put the point of the compasses at the end of the diamter (on the circle) and draw an arc inside the circle
3) Put the point of the compasses at the other end of the diamter (on the circle) and draw an arc inside the circle.
4) draw a line through where these arcs intersect with each other.
You now have a circle cut into 90deg sections.
5) Put the point of the compasses on the point you put it on in (2) at the end of the diameter and draw an arc outside the circle.
6) Put the point of the compasses 90° around on one end of the diameter that you drew in part (4) and draw an arc outside the circle.
7) Where these 2 arcs intersect draw a line from them through the middle of the circle to make yet another diameter.
you have just bisected 2 of the 90° angles so repeat steps (5) - (7) to bisect the other 2 90° angles.
1. Draw the circle with compass.
2.From any point on the circle A, make an arc of the same radius that cuts the circle at point B (it will also cut at another point).
3. Now if the points A and B are joined to the center (O), <AOB is 60 degrees.
4. Put the compass on both of A and B and draw arcs such that the two arcs touch each other inside and outside the circle at C and D respectively (any radius). If CD is joined, O will fall on this line, and <AOD=<BOD will be 30 degrees.
5. Let the point where line OD cuts the circle be E
6. One more time, the angle BOD or BOE is divided into, say BOF and FOE by repeating step 4 by drawing arcs centered at B and E. Hence <BOF=<FOE=15 degrees.
7. Therefore, <AOF=<AOD+<FOE= 30+15= 45 degrees.
8. Now measure the distance between A and point where OF cuts the circle (G) and set the compass to that length.
9. Cut arcs along the circle, with center on the next arc, and you will have the circle divided into 45 degree sections.
Divide the circle in half to get 180. Divide the halves in half to get 90. Then divide those quandrants in half to get 45. With pencil in hand and circle drawn, you should easily manipulate the compass or protractor to divide that circle. Go for it.