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Geometry 11.5 Big Idea: Areas of Circles and Sectors

Geometry 11.5 Big Idea: Areas of Circles and Sectors. Theorem 11.9: Area of a Circle Area equals pi times the square of the radius. Example: Find the area. Example: Find the radius. Example: Find the diameter. Vocabulary:

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Geometry 11.5 Big Idea: Areas of Circles and Sectors

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  1. Geometry 11.5Big Idea: Areas of Circles and Sectors

  2. Theorem 11.9: Area of a Circle Area equals pi times the square of the radius.

  3. Example: Find the area.

  4. Example: Find the radius.

  5. Example: Find the diameter.

  6. Vocabulary: Sector: A region in a circle bounded by 2 radii and their intercepted arc.

  7. Theorem 11.10: Area of a Sector Area of a sector equals the product of the entire circle area and the ratio of the intercepted arc to 360º.

  8. Formula for Area of a Sector Area of sector AOB =mABπr2 360º

  9. Example: Find the area of sector UTV.

  10. Example: Find the area of sector FDE.

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