Expression for tangent to circle from outside point

Explorer ,
May 12, 2022 May 12, 2022

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Hi there,

Could someone help with expression for a 2 tangents to a circle.

 

Reference (calculations inside circle not requried)

https://www.geogebra.org/m/uMbEdSWy

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Explorer ,
May 12, 2022 May 12, 2022

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Adobe Community Professional ,
May 12, 2022 May 12, 2022

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The page you linked has all the math already. It's just a simple triangle which can be solved with the law of cosines or even simpler using the standard formula for equilateral triangles. The circle itself doesn't really matter beyond defining the points of the triangle as being on a radius relative to a center.

 

Mylenium

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Explorer ,
May 12, 2022 May 12, 2022

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LoL! I constructed one in geogebra in below link

https://www.geogebra.org/m/b6hrv4nq

 

But while implementing in after effects, when 2 circles intersect, how do you find the intersection point coordinates(x,y) to draw a perpendicular bisect and a midpoint to act as center for new circle which intersects again on original circle on point of tangency.

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Adobe Community Professional ,
May 12, 2022 May 12, 2022

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Simple math again. The bisection of two circles is the intersection of their cosine/ sine functions with the intersection point being the same value in both function sets in a coordinate system.

 

Mylenium

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