perplexus.info :: Geometry : Find the arc

Find the arc (Posted on 2018-02-08)

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 3

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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