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.
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.
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 circle of radius five centered at the origin.
x2 + y2 = r2
you
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.
x2 + y2 = 9
x2+y2=7^2newtest3
x2 + y2 = 25radius of 10?x2 + y2 = 100
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.
radius
radius
The circle of radius five centered at the origin.
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.
x2 + y2 = r2
you
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?