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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 5 What is the circle's equation?
x2 + y2 = 25
What is the equation of a circle centered at the origin with a radius of 12?
x2 + y2 =144
What is the equation of a circle centered at the origin with a radius of 15?
x² + y² = 225.
What is the equation of a circle centered at the origin with radius 20?
x2 + y2 = 400
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.
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.
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.
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 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 standard equation for a circle that is centered at the origin with the radius r?
It is x^2 + y^2 = r^2
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.
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).
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.
The equation of a circle centered at the origin is x2 plus y2 16. What is the radius of the circle?
If that equals 16 then the radius is 4
This circle is centered at the point (4 5) and the length of its radius is 3. What is the equation of the circle?
The equation of a circle can be expressed in the standard form ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center and (r) is the radius. For a circle centered at (4, 5) with a radius of 3, the equation becomes ((x - 4)^2 + (y - 5)^2 = 3^2). Therefore, the equation of the circle is ((x - 4)^2 + (y - 5)^2 = 9).
