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Arc lengths and areas
- 1. Mr. Saucedo Milby HighSchool Geometry
- 2. Objective: To find partialareas and circumferences of circles.
- 3. What you shouldknow… Find the Circumference and the Area of a circle with diameter 10.
- 4. WHAT IS? ARC LENGTH Anarc length is a fraction of the circumference.
- 5. The concept… Can youfind the arc length of this Semicircle? What would the arc length be if we just wanted to use a quarter of the circle?
- 6. HOW DO WEFIND ARC LENGHTS? With the following proportion: Part of a circumference Whole Circumference circle Arc length пD = Portion of degrees Whole: Degrees in a = Central Angle 360
- 7. GUIDED EXAMPLE 1 Findthe length of the arc:
- 8. Independent example Find thelength of the arc AB.
- 9. SECTORS What is asector?
- 10. AREA OF ASECTOR FORMULA: AREA OF SECTOR AREA OF CIRCLE = CENTRAL ANGLE 360 AREA OF SECTOR = CENTRAL ANGLE пr2 360
- 11. GUIDED EXAMPLE 2 Findthe area of the blue section
- 12. INDEPENDENT EXAMPLE Find thearea of the shaded region.
- 13.