perplexus.info :: Geometry : Getting To PC With A Circle

Getting To PC With A Circle (Posted on 2007-11-10)

Y is the center of a circle having radius r. Point X is located outside the circle and tangents XP and XC are drawn to touch the circle respectively at P and C.

Given that XY = d, determine the length of PC in terms of r and d.

Submitted by K Sengupta

Rating: 3.0000 (2 votes)

Solution: (Hide)

PC = 2*PQ = 2r*√(d²-r²)/d

EXPLANATION:

Refer to the respective solutions posted by:

(i) Praneeth in this location.

(ii) Brian Smith in this location.

(iii) Bractals in this location.

(iv) Gamer in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	K Sengupta	2008-03-08 11:49:10
re: Solution	K Sengupta	2008-03-08 11:48:35
re: Solution	K Sengupta	2008-03-08 11:48:04
re(2): Solution	K Sengupta	2008-03-08 11:46:35
Solution	Praneeth	2007-11-12 02:53:31
re: Solution	Gamer	2007-11-11 02:35:15
Solution	Brian Smith	2007-11-11 01:21:17
solution (different approach)	Daniel	2007-11-11 00:21:19
Solution	Bractals	2007-11-10 20:40:18

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