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Understanding Areas of Circles: Sectors, Segments, and Annuluses

In this lesson, we will explore the areas related to circles, focusing on the concepts of sectors, segments, and annuluses. Students will learn new vocabulary terms and discover the formulas necessary to calculate the area of these shapes efficiently. The success criteria include identifying and applying the appropriate formula for each shape and completing at least 80% of practice problems successfully. By the end, students will have a solid understanding of how to find the area of sectors, segments, and annuluses in circles.

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Understanding Areas of Circles: Sectors, Segments, and Annuluses

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  1. Warm-up Area of a regular polygon:________________________ Area of Circle: ______________________________

  2. Learning Intentions: • Today I will… • Learn new vocabulary: annuluses, sectors, and segments of circles • Discover formulas and methods for calculating the area of annuluses, sectors, and segments of circles. • Success Criteria: • I am successful if… • I can identify and apply the appropriate formula for an annulus, sector or segment of a circle. • I can complete at least 80% of my practice problems.

  3. …But first, are there any questions from worksheet 8.5

  4. Sector A sector of a circle is the region between two radii and an arc of the circle.

  5. Segment A segment of a circle is the region between a chord and an arc of the circle. Sector

  6. Annulus A annulus is the region between two concentric circles.

  7. Example 2

  8. Example 3

  9. Example 4

  10. Area of sector Click for Video! Area of segment Area of Annulus

  11. Now Practice.

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