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Find the arc (Posted on 2018-02-08) Difficulty: 3 of 5

Consider a semi-circle of radius r.
A curve C is drawn such that at any point P on C, the distance between P and the semi circle's base equals the length of a line segment from P perpendicular to the given semi-circumference.

Derive C's equation.

No Solution Yet Submitted by Kenny M    
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my solution (no spoiler) | Comment 1 of 2
If C is interior to the semicircle and the origin is the center of the semicircle:

C:  y=(r^2-x^2)/2r

  Posted by armando on 2018-02-08 11:44:46
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