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x2 + y2 = r2, the equation of a circle centered at the origin.

If you want to make the circle larger, increase the radius length.

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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


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

In the standard equation of a circle centered at the origin, (x^2 + y^2 = r^2), the number that changes when you make the circle bigger or smaller is (r^2), where (r) is the radius of the circle. As you increase or decrease the radius, (r^2) will correspondingly increase or decrease. The values of (x) and (y) remain constant as they represent points on the circle.


WRITE THE STANDARD EQUATION FOR THE CIRCLE CENTERED AT THE GROIN WITH THE POINT (8, -1) ON THE CIRCLE?

9


Equation for a circle centered at the origin should one increase to make a circle larger?

Yes, increase the constant term to make the circle larger.


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.


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

The Radius


Which is the standard equation for a circle centered at origin with raduis r?

The standard equation for a circle centered at the origin (0, 0) with radius ( r ) is given by ( x^2 + y^2 = r^2 ). In this equation, ( x ) and ( y ) represent the coordinates of any point on the circle, and ( r ) is the radius. This equation describes all points that are a distance ( r ) from the center.


How To find the standard equation for a circle centered at the origin we use the distance formula since the radius measures?

To find the standard equation for a circle centered at the origin, we use the distance formula to define the radius. The equation is derived from the relationship that the distance from any point ((x, y)) on the circle to the center ((0, 0)) is equal to the radius (r). Thus, the standard equation of the circle is given by (x^2 + y^2 = r^2). Here, (r) is the radius of the circle.


What is the standard equation of a circle with radius r centered at the point hv?

The equation is (x - h)2 + (y - v)2 = r2


In the standard equation for a circle centered at any point a horizontal movement of the circle results in a change in which number?

the number that is part of the x-term


What is the standard equation for a circle that is centered at the origin with the radius r?

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


Which is the standard equation for a circle centered at the origin with the radius r?

The standard equation for a circle centered at the origin with a radius ( r ) is given by the formula ( x^2 + y^2 = r^2 ). In this equation, ( (x, y) ) represents any point on the circle, and ( r ) is the distance from the center to any point on the perimeter. This equation describes all points that are exactly ( r ) units away from the origin (0, 0).