So we have x squared plus y squared minus 4x plus 6y plus 4 equals 0 this is the general form of theMoreSo we have x squared plus y squared minus 4x plus 6y plus 4 equals 0 this is the general form of the equation of the circle. I. Hope you found this video useful if you did please remember to like it.
Step 1: In the standard form of the equation of a circle, ( x − h ) 2 + ( y − k ) 2 = r 2 , the ordered pair is the center of the circle. Therefore, substitute for and for to get ( x − x 1 ) 2 + ( y − y 1 ) 2 = r 2 . Step 2: Use the information given to find the radius, , to complete the equation.
Final answer: The equation of the circle passing through (0,8) centered at the origin is x² + y² = 64, which is in standard form.
What is centered at the origin mean? Centered at the origin means that when graphing a circle, its center will always be located at (0,0). This implies that all circles centered at the origin have their radius length starting from and extending outwards away from (0,0).
The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .
The equation of the circle which passes through the origin and makes intercepts of length a and b on the x and y axes respectively, are. x2+y2±ax±by=0.
The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .
The equation of a circle, centered at the origin, is x 2 + y 2 = r 2 , where is the radius and is any point on the circle.
What is the general form of the equation of a circle with center at (a, b) and radius of length m? Summary: The general form of the equation of a circle with center at (a, b) and radius of length m is x2 + y2 - 2ax - 2by + (a2 + b2 - m2) = 0.