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the number that is the x-coordinate

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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 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.


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 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 smaller which number in the standard equation for a circle center the orgin decreases?

In the standard equation for a circle centered at the origin, ( x^2 + y^2 = r^2 ), the radius ( r ) determines the size of the circle. When you make the circle smaller, you decrease the radius ( r ). Consequently, the value of ( r^2 ) also decreases, resulting in a smaller circle. Thus, the number that decreases in the equation is ( r^2 ).


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


When you move a circle vertically the number that is part of the xterm changes?

When you move a circle vertically on a graph, the x-coordinate of the circle remains unchanged, while the y-coordinate changes according to its new vertical position. This movement affects the overall position of the circle in the Cartesian plane but does not alter the x-coordinate. As a result, the x-term in the equation defining the circle stays the same, reflecting that the horizontal position is constant.


What equation Describes the circle With the radius 9?

(x2 + any number) + (y2 + any number) = 81


The equation of the inner circle is x2 plus y2 equals 4 the radius of the outer circle is four times the radius of the inner circle write the equation of the outer circle?

The inner circle is x2 + y2 = 4. The radius of the inner circle is the square root of 4, which is 2. To find the radius of the outer circle, multiply 2 times 4. The radius of the outer circle is 8. Square 8 (82 or 8 x 8) to find the number to put into the equation of the outer circle. This is 64. The equation for the outer circle is x2 + y2 = 64.


What is the solution set of an equation of a circle?

The solution set is all points on the circle.


Is true or false when you move a circle vertically the number that is part of the x-term changes?

False. When you move a circle vertically, the x-term remains unchanged; only the y-coordinate of the circle's center is affected. The equation of the circle, typically in the form ((x - h)^2 + (y - k)^2 = r^2), shows that changes in the vertical position involve the (k) value, not the (h) value associated with the x-term.


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

In the standard equation for a circle centered at the origin, ( x^2 + y^2 = r^2 ), the radius ( r ) determines the size of the circle. When you make the circle smaller, the radius ( r ) decreases, which in turn causes ( r^2 ) to decrease as well. Thus, the value of ( r^2 ) in the equation decreases when the circle is made smaller.