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Understanding Area and Arc Length of Regular Polygons and Circles

This resource provides practice problems focusing on finding the area of regular polygons and the arc lengths and sector areas of circles. It emphasizes the importance of showing work for grading purposes and includes examples with solutions. Students will learn to round their answers to the nearest tenth and grasp the definitions of key terms such as circumference, arc length, and sector area. Perfect for honing skills in geometry, this guide will enhance understanding through practical exercises.

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Understanding Area and Arc Length of Regular Polygons and Circles

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  1. Warm up for 5/9/13 Find the area of each regular polygon. Round your answers to the nearest tenth. 1. 2. 3. 4. 18 5.4 4 8 9.6 9

  2. WS 705 answers 1) 172.8 2) 144 3) 5544 4) 12933.6 5) 525 6) 84 7) 261 8) 946.4 9) 120, 60, 30 10) 90, 45, 45 11) 60, 30, 60 12) 36, 18, 72

  3. 7-6 Arc Length7-7 Sector Area

  4. 7-6 Arc Length • Review: The Circumference is the distance around a circle. • C=2πr or C=πd • Definition: The Arc Length is the distance around an arc (a fraction of the circumference) • Arc length is DIFFERENT from Arc Measure****

  5. Arc Length: is a fraction of a circle’s circumference (in terms of pi)Arc Measure: is equal to the central angle (in terms of degrees)

  6. Ex. 1 find the length of arc ab

  7. You Try:Ex 2: Find the length of arc ADB

  8. 7-7 Sector Area • Review: The Area of a circle is π*r2 • Definition: A Sector is a region bounded by an arc and two radii

  9. Is a part of a circle bounded by an arc and the segment joining its endpoints

  10. Area of a Segment

  11. Ex 1: Find the area of the segment:

  12. Ex 2:

  13. Challenge: Find the area of the shaded region 12cm

  14. Classwork/Homework: LESSON 7.6 / 7.7 EXERCISES … YOU MUST SHOW YOUR WORK! NO WORK … NO CREDIT!!!

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