To draw a continues curve of circular arcs passing through any number of parts not in straight lines

 1) Let us consider 3 points A, B, C be given points which are not present in straight line. 

2) Draw lines connecting A with B, B with C.

3) Draw perpendicular bisectors to lines AB, BC

4) These two perpendicular bisectors intersect at point ‘O’

5) With O as centre and radious equal to OA, draw an arc passing through points A, B, C

TO FIND CENTRE OF AN ARC

Method 2:

Problem: To find the centre of an Arc

1. Draw an arc AB.

2. Draw a line (Chord) that connects the two points of the arc.

3. Set your compass more than half of the length of line and place compass on one end of the line ( or arc) and draw arc's above and below the arc AB.

4. Keeping the same distance set on your compass, swing arcs from another end of the line, draw arcs above and below the arc AB cutting previously drawn arc's.

5. Draw a line through the two intersection points of the arcs.

5. It will cut the line AB at 'O', This is the centre of the chord.

Manually Bisecting a Circular Arc

          In Geometry, bisecting an arc is cutting arc exactly in half.

Problem: To bisect an Arc

1. Draw an arc AB.

2. Draw a line (Chord) that connects the two points of the arc.

3. Set your compass more than half of the length of line and place compass on one end of the line ( or arc) and draw arc's above and below the arc AB.

4. Keeping the same distance set on your compass, swing arcs from another end of the line, draw arcs above and below the arc AB cutting previously drawn arc's.

5. Draw a line through the two intersection points of the arcs.