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What is the equation of the circle centred at the origin with a radius of 2?
x2 + y2 = 4.
What is the equation of a circle centred on the origin with a radius of 5?
x² + y² = 25.
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?
When you make the circle bigger or smaller which number of the standard equation for a circle centered at the origin changes?
Standard equation for a circle centred at the origin is x2 + y2 = r2 where r is the radius of the circle. If you increase the size of the circle then the radius must increase, so r2 will be larger. eg a circle of radius 2 has the equation x2 + y2 = 4, if the radius increases to 3 then the equation becomes x2 + y2 = 9
What equation represents an ellipse?
x2/a2 + y2/b2 = 1, is the equation of an ellipse with semi-major axes a and b (that's the equivalent of the radius, along the two different axes), centered in the origin.
What is the equation for the ellipse if the ellipse is centered at the origin and the length of its horizontal axis is 4 and lengeth of the vertical axis is 8?
Ellipse formula, centered at the origin, where the vertical axis is the major axis: x2/b2 + y2/a2 = 1, a > b Since the major axis is 8, then a = 4. Since the minor axis is 4, then b = 2. Thus, the equation of the ellipse is: x2/4 + y2/16 = 1.
What kind of equation gives a circle on a graph?
x2 + y2 = r2 gives a circle centred on the origin, radius r.
What is the equation for an ellipse that is centered at the origin and has a horizontal axis of length 6 and a vertical axis of length 4?
6*4
What is the equation for an ellipse with center at the origin ,one focus at (1,1) and the length of semi major axise is 4.?
This equation is equal to the first one because it produces the same results, always. ... TL;DR - The circle equation is what you get when you multiply all terms from the ellipse equation by the radius. x^2/a^2 + y^2/b^2 = 1 is an ellipse equation. Well, a circle has a radius where a and b are the same.
The ellipse is centered at the origin The length of its horizontal axis is 4 and the length of its vertical axis is 8 What is the equation for the ellipse?
X^2/2^2 + y^2/4^2 = 1
What is the formula of finding the area of an ellipse?
You know the formula for the area of a circle of radius R. It is Pi*R2. But what about the formula for the area of an ellipse of semi-major axis of length A and semi-minor axis of length B? (These semi-major axes are half the lengths of, respectively, the largest and smallest diameters of the ellipse--- see Figure 1.) For example, the following is a standard equation for such an ellipse centered at the origin: (x2/A2) + (y2/B2) = 1. The area of such an ellipse is Area = Pi * A * B , a very natural generalization of the formula for a circle!
This ellipse is centered at the origin and has a horizontal axis of length 10 and a vertical axis of length 18 What is its equation?
x2/52 + y2/93 = 1
