This lesson focuses on defining a circle, presenting its equation in two different forms (standard and general), and giving examples of how to solve problems.

Learn how to write the equation of a circle given its center and radius, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

Write the Standard Form of the equation for a circle centered at point (4 , 6) and has a radius of 10.

Learn how to write the equation of a circle given its center and a point on the circle, and see examples that walk through sample problems step-by-step for you to improve your math …

Learn how to convert equations of conic sections from general to standard form, and see examples that walk through sample problems step-by-step for you to improve your math …

Learn how to identify the center and radius of a circle given its equation in general form by completing the square in several examples to improve your math knowledge and skills.

Learn how to write the equation of a circle in standard form from its graph, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

Learn how to identify the center and radius to graph a circle given its equation in standard form, and see examples that walk through sample problems step-by-step for you to improve your …

Step 1: Since the center of the circle is at the origin, (0, 0), simplify the general form of the equation of the circle to remove h and k.

The circle equation can be derived from the general equation creating the standard form as such: (x h) 2 r 2 + (y k) 2 r 2 = 1 where (h, k) is the center and r represents the radius of the circle.