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17 Dec 2010, 09:48
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Quick question, since I haven't been able to find the answer throughout the forum. When question says that circle is Xssqrd+Ysqrd=1, does that mean that radius of a circle on an XY plane is 1?
Appreciate the help guys!
Appreciate the help guys!
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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17 Dec 2010, 09:54
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MisterEko
THEORY:
In an x-y Cartesian coordinate system, the circle with center (a, b) and radius r is the set of all points (x, y) such that:
\((x-a)^2+(y-b)^2=r^2\)
This equation of the circle follows from the Pythagorean theorem applied to any point on the circle: as shown in the diagram above, the radius is the hypotenuse of a right-angled triangle whose other sides are of length x-a and y-b.
If the circle is centered at the origin (0, 0), then the equation simplifies to:
\(x^2+y^2=r^2\)
So, if you have x^2+y^2=1 then you know that this circle is centered at the origin and has the radius equal to \(\sqrt{1}=1\)
For more check: math-coordinate-geometry-87652.html
P.S. It's better to write "Xssqrd+Ysqrd=1" as x^2+y^2=1.
17 Dec 2010, 13:30
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Bunuel
Crystal clear. Helpful as always. Thank you.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
