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## Equations of Circles

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**Equations of Circles**Section 10.6**Essential Questions**• How do I write the equation of a circle? • How do I use the equation of a circle and its graph to solve problems?**Find the length of r, the radius, in terms of the endpoints:****Standard Equation of a Circle**ris the radius of the circle, (h, k)is the center of the circle, (x, y)is any point on the circle. Standard equation of a circle:**Example 1:**Write the standard equation of the circle with a center (-4, 0) and radius 7.1.**Problem 1**• Write the standard equation of a circle with the given center and radius: center (-1, -3), and radius 6**Try This!**• Give the center and radius of the circle: Center:(-5, -3) Radius:1**Example 2 -**Give the Center & Radius of the Circle**Try this!**Give the Center & Radius of the Circle:**Try this!**• Use the information to write the standard equation of a circle: The center is (0, 0) , a point on the circle is (0, 4). The center is (-3, 6) and the diameter is 10.**Try This!**• The equation of a circle is Tell whether each point is on the circle, in the interior of the circle, or in the exterior of the circle. 1. (0, 0) exterior 2. (3, -4) interior 3. (3, 1) on