BodhiAI

Nov. 15, 2019

**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 T _{1 }and T_{2 }be the tangents at their point of intersection. Also,N_{1} andN_{2 } 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 **

** **