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Learn how to write and graph an equation of a circle in a coordinate plane, using the radius and center coordinates. Understand the standard equation and steps to plot the circle accurately.
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Section 10-6 Equations of Circles
You can write an equation of a circle in a coordinate plane, if you know: • Its radius • The coordinates of its center
is the center of the circle Standard Equation of a Circle: r is the radius of the circle.
To graph a circle on a coordinate plane: • Identify the center • Graph the center • Identify the radius
Start at the center and count the number of units that the radius is above the center, below the center, to the left of the center and to the right of the center. • Draw the circle to connect those points.