x2 + y2 = 4.
x² + y² = 25.
x2 + y2 = r2 gives a circle centred on the origin, radius r.
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
Can be centred anywhere. The circle x^2 + y^2 = z^2 is centred at the origin. X, y & z do not require to be different.
x2 + y2 = r2 describes a circle, radius r, centred on the origin. r is thus sqrt(25 + 144) ie 13 units.
x² + y² = 25.
x2 + y2 = r2 gives a circle centred on the origin, radius r.
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
Can be centred anywhere. The circle x^2 + y^2 = z^2 is centred at the origin. X, y & z do not require to be different.
The radius of the circle decreases when you make the circle smaller.
The equation of circle is (x−h)^2+(y−k)^2 = r^2, where h,k is the center of circle and r is the radius of circle. so, according to question center is origin and radius is 10, therefore, equation of circle is x^2 + y^2 = 100
x2 + y2 = r2 describes a circle, radius r, centred on the origin. r is thus sqrt(25 + 144) ie 13 units.
x2 + y2 = 6.25
If that equals 16 then the radius is 4
Equation of a circle centre the origin is: x2 + y2 = radius2 ⇒ radius = √9 = 3.
The equation is: x2+y2 = radius2
x2 + y2 = 25