# Standard Equation of a Circle

Apr 14th, 2015
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This document gives the student thorough practice on determining the circle formula (x - a)² + (y - b)² = r². It deals with different variations : given diameter, positive and negative coordinates for the center and others. The reverse problem of finding the center and radius given the equation is also dealt with.

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Equations of circlesReminder gives: The general equation of a circle is (x - a) + (y - b) = rwhere the center of the circle is (a, b) and the radius is rAnswer each of the following problems. 1. Write the equation of a circle with a center at (0, 0) and a radius of 6.2. Write the equation of a circle with a center of (0, 0) and a diameter of 20.3. Write the equation of a circle with a center at (1, 2) and a diameter of 15.4. Write the equation of a circle with a center at (0, 8) and a radius of 9.5. Write the equation of a circle with a center at (-5, -7) and a radius of 3.8.6. Write the equation of a circle with a center at (7, 3) and a diameter of 24.7. Write the equation of a circle with a center at (4, 1) and a radius of 6.8. Write the equation of a circle with a center at (10, 10) and a radius of 12.9. A circle has the equation (x - 6) + (y - 7)

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