Circle Tangent to Two Parallel Lines

Rarely Tested

Circle Tangent to Two Parallel Lines

For parallel lines:

$$Ax+By+C_1=0$$

and:

$$Ax+By+C_2=0$$

a circle tangent to both has radius:

$$r=\frac{|C_1-C_2|}{2\sqrt{A^2+B^2}}$$

Usage

- Used to find the radius of a circle fitting exactly between two parallel lines.

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