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Understanding Apothem and Radius: Finding Area and Perimeter Using Trigonometric Functions

This guide provides a comprehensive overview of the concepts of apothem and radius in polygons. It covers how to use trigonometric functions such as sine, cosine, and tangent to calculate the apothem, sides, perimeter, and area of various polygons, including those defined by specific angles like 30-60-90 and 45-45-90 triangles. With clear explanations and proportional relationships, readers will learn the fundamental mathematical techniques for solving problems related to polygon geometry, helping build a strong foundation in geometry.

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Understanding Apothem and Radius: Finding Area and Perimeter Using Trigonometric Functions

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  1. Hw:

  2. Hw:

  3. Hw:

  4. Apothem Radius

  5. Apothem Radius

  6. Apothem Radius

  7. Apothem Side

  8. Apothem Side

  9. Use Sin and Cos To find: Apothem Side

  10. Use Sin and Cos To find: Apothem 30-60-90

  11. Use Sin and Cos To find: 30-60-90, 45,45,90 Side

  12. Use Either 360 /n Or N-2 * 180 * half

  13. Hw:

  14. Perimeter a/b Area a2/b2

  15. Perimeter a/b Area a2/b2

  16. Proportion Perimeter a/b Area a2/b2

  17. Proportion Perimeter a/b Area a2/b2

  18. Proportion Perimeter a/b Area a2/b2

  19. Proportion Perimeter a/b Area a2/b2 Proportion Perimeter a/b Area a2/b2

  20. \/25*\/3 = \/75 5\/3 \/4*\/3 = \/12 2\/3

  21. Hw:

  22. Use 360 /n /2 & Tan To find: Apothem

  23. Use 360 /n /2 & Tan To find: Apothem

  24. Use 360 /n /2 & Tan To find: Apothem

  25. Use 360 /n /2 & Cos To find: Apothem Side

  26. Use 360 /n /2 & Cos To find: Apothem Side

  27. Use 360 /n /2 & Cos To find: Apothem Side

  28. Half of Side times Angle sin times Side

  29. Half of Side times Angle sin times Side

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