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It is x^2 + y^2 = r^2

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Q: What is the standard equation for a circle that is centered at the origin with the radius r?
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Which number in the standard equation for a circle centered at the origin should one increase to make the circle larger?

You should increase the radius in the standard equation of a circle centered at the origin. The general form is ( x^2 + y^2 = r^2 ), where ( r ) is the radius. By increasing ( r ), you extend the distance from the center to any point on the circle, making it larger.


When you make the circle bigger or smaller which number of thte standard equation for a circle centered at the origin changes?

The Radius


When you make the circle smaller which number in the standard equation for a circle centered at the origin decreases?

The radius of the circle decreases when you make the circle smaller.


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.


To find the standard equation for a circle centered at the origin you used the distance formula since the radius measures?

The distance from any point on the circle to the origin


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 is the general equation of a circle centered at the origin?

x2 + y2 = r2


Which equation describes the circle with radius 6 that is centered at the origin?

The equation is: x2+y2 = radius2


This circle is centered at the origin and the length of its radius is 5 What is the equation of the circle?

x2 + y2 = 25


This circle is centered at the origin and the length of its radius is 4 What is the equation of the circle?

x2 + y2= 16


This circle is centered at the origin and the length of its radius is 5 What is the circle's equation?

x2 + y2 = 25


This circle is centered at the origin and the length of its radius is 6 What is the circle's equation?

x2 + y2 = 36