How to find the distance between a circle's center and a tangent line?

Question

Mathematics

Kash Jacobs

26 February, 19:51

How to find the distance between a circle's center and a tangent line?

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Answers (1)

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Violet Huerta · Answer 1

Hello:

let an equation of the tangent line : ax+by = c

the center of the circle is : A (X0, Y0)

the distance between a circle's center and a tangent line is : d

d = |aX0 + bY0 - C| / (√ (a²+b²)