The document discusses circles and their equations. It defines a circle and gives the standard form for a circle equation. It then provides two examples of writing the equation of a circle given its center and radius. A third example shows how to find the center and radius of circles given their equations. The document serves to introduce the key properties of circles and demonstrate how to write and interpret circle equations.

3. 10.3 Circles

4. A circle is. . .

5. Standard form for the equation of a circle: Circle Demo

6. Example 1 . Write the equation of the circle. Center (-4, 3), radius 4 Center (5, -2), radius 8

7. Example 2. Find the center and radius of each circle. (x – 16) 2 + (y + 9) 2 = 144 (x + 8) 2 + (y + 3) 2 = 121 x 2 + y 2 = 2

8. Example 3 . Find the center and radius . a. x 2 + y 2 - 6x – 2y + 4 = 0 b. x 2 + y 2 – 14x – 2y = -1

10. Assignment: