1. Objective: Writing and graphing equation of circles. Warm up 1.Find the area of the shaded sector.

2. 2. Find the area of the shaded region in terms of.

3. 3. Find the length of JK.

4. Investigation a. Derive the equation by using the Pythagorean Theorem.

5. b. Derive the equation of the circle using the Pythagorean Theorem.

6. Example 1

7. Example 2 Find the center and radius of each circle. Graph parts a and b. a. b. c.

8. Classwork Worksheet 1-5

9. Objective: Write equation of circles in standard form. 1. Find the length of JK.

10. 2.Write the equation of the circle. a.

11. b.

12. Example 1 Factor, if possible. a. b. c.

13. Example 2 Factor by completing the square. a. b.

14. Example 3 Write the equation of the circle in standard form. Identify the center and radius. a.

15. b.

16. Example 4 Write the equation of the circle in standard form. Identify the center and the radius. a.