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BodhiAI
Nov. 15, 2019

Intersection of two circles,Common Chords:

 

Angle of Intersection of Two Circles

The angle of intersection of two curves is the angle made between their tangents at their point of intersection.

Let

and

represent general equation of circles. Let T1 and T2 be the tangents at their point of intersection. Also,N1 andN2 are the normals to these tangents at their point of contact with the circles.  If the angle between tangent is θ, then the angle between their perpendiculars i.e. normals will also be .

Hence, such that in we have

If r1 and r2 are radii of two circles represented by S1=0 and s2=0 and represents the distance between their radii then