radius
radius
x2 + y2 = 25
x2 + y2 = 25
x2 + y2 =144
x² + y² = 225.
radius
The distance from any point on the circle to the origin
A: The distance from any point inside the circle to the origin. B: The distance from any point inside the circle to the origin. C: The distance from the x-coordinate to the origin. D: The circumference.
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.
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.
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.
The circle of radius five centered at the origin.
x2 + y2 = 25
x2 + y2 = 25
x2 + y2= 16
17
x2 + y2 = 49