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# Arc lengths and areas

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Geometry HIgh School, lesson, Circles, Areas, Arc Lengths, Sectors, Introduction, Perimeter, Area, Volume Unit

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### Arc lengths and areas

1. 1. Mr. Saucedo Milby High School Geometry
2. 2. Objective: To find partial areas and circumferences of circles.
3. 3. What you should know… Find the Circumference and the Area of a circle with diameter 10.
4. 4. WHAT IS? ARC LENGTH An arc length is a fraction of the circumference.
5. 5. The concept… Can you find the arc length of this Semicircle? What would the arc length be if we just wanted to use a quarter of the circle?
6. 6. HOW DO WE FIND 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. 7. GUIDED EXAMPLE 1 Find the length of the arc:
8. 8. Independent example Find the length of the arc AB.
9. 9. SECTORS What is a sector?
10. 10. AREA OF A SECTOR FORMULA: AREA OF SECTOR AREA OF CIRCLE = CENTRAL ANGLE 360 AREA OF SECTOR = CENTRAL ANGLE пr2 360
11. 11. GUIDED EXAMPLE 2 Find the area of the blue section
12. 12. INDEPENDENT EXAMPLE Find the area of the shaded region.
13. 13. HOMEWORK WORKBOOK (BLUE BOOK) Pages: