1. 10.6 and 10.7 Circles and Sectors

2. Words… Circle: the set of all points equidistant from a given point called the center (name a circle by its center) P radius diameter Central angle – an angle whose vertex is the center of the circle.

3. Arcs… Semicircle – an arc that is half the circle Minor arc – smaller than a semicircle Major arc – greater than a semicircle

4. Identify… Minor arcs: Semicircles: Major arcs that contain point A:

5. Measures… Name and find the measure of a minor arc: Name and find the measure of a major arc:

6. Arc Length… THEOREM 10.9: Circumference of a Circle The circumference of a circle is times the diameter. THEOREM 10.10: Arc Length

7. Arc Length… Find the length of each arc shown in red. Leave your answer in terms of.

8. Area… THEOREM 10.11: Area of a Circle The area of a circle is the product of and the square of the radius. THEOREM 10.12: Area of a Sector of a Circle

9. Area… Find the area of a circle with a 12-inch diameter. Find the area of sector ZOM. Leave your answer in terms of.

10. Recap… Use the circle to the right to answer the following. 1) Find 2) Find 3) Find the area of circle O. 4) Find the length of ABC 5) Find the area of sector AOC

11. 10.6 and 10.7 Circles and Sectors HW: p. 570 #9-31 odd, 34-39 p. 577 #1-4, 7-12 QUIZ TMW