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Circle Circumference and Area

Circle Circumference and Area
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2017-07-01 00:14
CircleTrigonometryGeometric Construction
This example demonstrates how to draw a circle and calculate its circumference and area using GeoGebra. Key math concepts include the circumference formula C=2πr, area formula A=πr², and basic circle properties. Construction highlights involve commands like Circle, Point, Ray, Rotate, Polygon, Segment, Distance, Vector, Translate, and LineBisector. Suitable for middle school and high school students learning circle geometry and formula applications in mathematics education.

GeoGebra Commands & Parameters

  1. Circle(A, 1) → c
  2. Point(c) → B
  3. Ray(A, B) → f
  4. Rotate(A, (360 / n)°, A) → A'
  5. Rotate(B, (360 / n)°, A) → B'
  6. Ray(A', B') → f'
  7. Polygon(B, B', n) → poly1, g, r, s, t, a, b, d, e, f_1, g_1, h_1, h, i_1, C, D, E, F, G, H, I, J, K, i, L, M, N, O, P, Q, R, S, T, j, k, l, m, p, q
  8. Segment(A, B') → j_1
  9. Segment(A, C) → k_1
  10. Segment(A, D) → l_1
  11. Segment(A, E) → m_1
  12. Segment(A, F) → n_1
  13. Segment(A, G) → p_1
  14. Segment(A, H) → q_1
  15. Segment(A, I) → r_1
  16. Segment(A, J) → s_1
  17. Segment(A, K) → t_1
  18. Segment(A, L) → a_1
  19. Segment(A, M) → b_1
  20. Segment(A, N) → c_1
  21. Segment(A, O) → d_1
  22. Segment(A, P) → e_1
  23. Segment(A, Q) → f_2
  24. Segment(A, R) → g_2
  25. Segment(A, S) → h_2
  26. Segment(A, T) → i_2
  27. Segment(A, B) → j_2
  28. Distance(A, B) → distanceAB
  29. Polygon(B, A, B') → poly2, b', b_2, a_2
  30. Vector(A, U) → u
  31. Translate(B, u) → B'_1
  32. Translate(A, u) → A'_1
  33. Translate(B', u) → B''
  34. Polygon(B'_1, A'_1, B'') → poly2', b'', b'_1, a'_1
  35. LineBisector(a'_1) → k_2