Arc Length and Areas of Sectors

How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of circles.

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CCSS: Designed
Instructional Ideas

  • Use actual string to demonstrate arc length
Classroom Considerations

  • Lesson incorporates previous content on central angles
  • Learners need to know how to find circumference and area of a circle
  • Problem set includes problems involving trigonometry
Pros

  • Learners develop the relationship between arc length, radius, and central angle by examining concrete examples rather than being told the relationship
  • Problem set includes a variety of problems for skills practice
  • Teacher resource includes answer key for all worksheets
Cons

  • None
Common Core