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The equation is based on having a centre at the origin. Moving the centre means you have to define where it is in relation to the origin, hence the extra terms involved in that job.

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Q: Why do the equations for circles and ellipses have fewer terms when they are centered at the origin of the graph?
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Why do the standard equations for circles and ellipses have fewer terms when they are centered at the origin of the xy-plane?

If that bothers you, then it's easy to arrange it so that they don't.The standard equation for the circle centered at (A, B) is(x - A)2 + (y - B)2 = R2OK. So if the circle is centered at the origin, then 'A' and 'B' are zero.(x - 0)2 + (y - 0)2 = R2That has just as many terms as any other circle, but most peoplesimply don't bother writing all the zeros for this one. That's allthere is to the mystery.


What equations correctly represents a circle centered at the origin with a radius of 3?

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Which equations correctly represents a circle centered at the origin with a radius of 5?

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How do you solve equations in circles?

Circles have the general equation (x-h)2 + (y-k)2 = r2 where (h,k) will be the center of the circle on a graph and r is its radius. If the circle is centered at the origin h=k=0 and the equation simplifies into x2 + y2 = r2 'Solving' implies that you know certain conditions. You substitute those into the appropriate equation and solve for the unknown.


The of a circle centered at the origin measures the distance from the origin to any point on the circle?

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The circle is centered at the origin and the length of its radius is 8 What is the circle's equation?

The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.


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What is the equation of a hyperbola that has a transverse axis of length 28 and is centered at the origin?

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This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?

This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?