The circle equations provide an algebraic way to represent a circle by specifying the center and length of the circle's radius. The circle equations are different from the equations used to calculate the area or circumference of a circle. This equation is used for many problems with circles in coordinate geometry.
2 types of equation of the circle
Center is in Origin
The standard form of the equation of the circle is that the center of the circle is in the origin and have a formula of , where r is the radius and (x, y) is any point in the circle.
Center is not in Origin
The circle is not always in the center of the Cartesian plane, sometimes it is not in the origin. It is different way on how to solve if the center is in the origin. The formula of it is , where r is the radius and the center is in (h, k).
Solving and Sketching the Equation of the Circle
Identify if the center is in the origin or not.
If the center of the circle is in the origin it is easy to solve and sketch it, but if not it must be in the form of in order to know the center and we can sketch the circle.
Solve properly the equation always remember that in dealing with the equation we need to consider the basic algebra rule like GEMDAS.
In sketching the circle in the Cartesian plane we need to know the radius and the center, after that using compass connect the radius and the center then sketch the graph.
Check your answer by substituting the center and the radius to the original equation and check it if the right side is equal to the left side of the equation.
Answers & Comments
Verified answer
EQUATION OF CIRCLE
The circle equations provide an algebraic way to represent a circle by specifying the center and length of the circle's radius. The circle equations are different from the equations used to calculate the area or circumference of a circle. This equation is used for many problems with circles in coordinate geometry.
2 types of equation of the circle
Center is in Origin
The standard form of the equation of the circle is that the center of the circle is in the origin and have a formula of , where r is the radius and (x, y) is any point in the circle.
Center is not in Origin
The circle is not always in the center of the Cartesian plane, sometimes it is not in the origin. It is different way on how to solve if the center is in the origin. The formula of it is , where r is the radius and the center is in (h, k).
Solving and Sketching the Equation of the Circle
EQUATION OF CIRCLE
brainly.ph/question/25172487
#LETSSTUDY