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Equation for a circle in xy-plane

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Senior Manager
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Equation for a circle in xy-plane [#permalink]

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New post 13 Aug 2009, 20:07
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\((x-a)^2 + (y-b)^2 = r^2\)

is the equation for a circle centered at (a,b) with radius r.

I encountered this in GMAT Club test m09. Do we need to know this? This is not covered in MGMAT and I have yet to see it in any other problem I've tried so far.
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Re: Equation for a circle in xy-plane [#permalink]

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New post 14 Aug 2009, 04:51
topher wrote:
\((x-a)^2 + (y-b)^2 = r^2\)

is the equation for a circle centered at (a,b) with radius r.

I encountered this in GMAT Club test m09. Do we need to know this? This is not covered in MGMAT and I have yet to see it in any other problem I've tried so far.



In light of the observations that GMAT quant is getting tougher, you might want to memorize this. Though I do not think GMAC would throw a question based on circle equation....
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Re: Equation for a circle in xy-plane [#permalink]

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New post 14 Aug 2009, 06:27
topher wrote:
\((x-a)^2 + (y-b)^2 = r^2\)

is the equation for a circle centered at (a,b) with radius r.

I encountered this in GMAT Club test m09. Do we need to know this? This is not covered in MGMAT and I have yet to see it in any other problem I've tried so far.


The equation of a circle in an xy-plane is supposedly an advanced geometry problem. You might want to remember the underlying concept - the pythagorean theorem. Any point (x,y) will lie on the boundary of the circle if the sum of squares of difference of x and y coordinates with respect to the center (a,b) will give you the hypotenuse r squared. In simpler words, the distance between any point (x,y) from the center (a,b) is r. That must be the standard across any circle based on which this equation was developed. GMAC must be testing this standard, not the equation, remembering the equation though can help save some time.
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Re: Equation for a circle in xy-plane [#permalink]

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New post 30 Jan 2017, 22:17
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Equation for a circle in xy-plane   [#permalink] 30 Jan 2017, 22:17
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