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Parts of a Circle by Kim Kelly

Parts of a Circle by Kim Kelly
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2012-03-03 22:30
CircleAngleGeometric Construction
This example demonstrates various parts of a circle, including chords, diameters, radii, and the center. Key mathematical concepts include basic properties of circles and geometric constructions. Using GeoGebra commands such as Circle, Point, Segment, Midpoint, etc., the construction process is dynamically shown. Suitable for classroom demonstration or individual student investigation.

GeoGebra Commands & Parameters

  1. Circle(A, C) → circle
  2. Point(circle) → U
  3. Point(circle) → T
  4. CircleArc(A, T, U) → d
  5. Segment(T, U) → segCHORD
  6. Midpoint(segCHORD) → Z
  7. OrthogonalLine(Z, segCHORD) → d_2
  8. Point(circle) → D
  9. Segment(A, D) → RADIUS
  10. Point(circle) → E
  11. Ray(E, A) → a
  12. Intersect(circle, a) → F, G
  13. Segment(E, G) → DIAMETER
  14. Circle(A, E) → circumference
  15. Point(circle) → H
  16. Point(circle) → I
  17. CircleSector(A, H, I) → sector
  18. Point(circle) → J
  19. Ray(J, A) → b
  20. Intersect(circle, b) → K, L
  21. Segment(J, L) → semiCIRCLEdia
  22. Semicircle(J, L) → semicircle
  23. Point(circle) → M
  24. Segment(A, M) → quadR_1
  25. OrthogonalLine(A, quadR_1) → e
  26. Intersect(circle, e) → N, O
  27. Segment(O, A) → quadR_2
  28. CircleSector(A, M, O) → quadrant
  29. Angle(M, A, O) → α
  30. Point(circle) → P
  31. Point(circle) → Q
  32. CircleArc(A, P, Q) → arc
  33. Point(circle) → R
  34. Point(circle) → S
  35. Segment(R, S) → CHORD
  36. Tangent(tangentPOINT, circle) → tangent, g
  37. Ray(Z, A) → c
  38. Intersect(d, d_2) → A_2,
  39. Midpoint(A_2, U) → A_1
  40. Midpoint(A_2, T) → B_1
  41. Midpoint(T, B_1) → C_1
  42. Midpoint(B_1, A_2) → D_1
  43. Midpoint(A_2, A_1) → E_1
  44. Midpoint(A_1, U) → F_1
  45. Midpoint(U, F_1) → G_1
  46. Midpoint(F_1, A_1) → H_1
  47. Midpoint(A_1, E_1) → I_1
  48. Midpoint(E_1, A_2) → J_1
  49. Midpoint(A_2, D_1) → K_1
  50. Midpoint(D_1, B_1) → L_1
  51. Midpoint(B_1, C_1) → M_1
  52. Midpoint(C_1, T) → N_1
  53. Ray(Z, N_1) → f
  54. Ray(Z, C_1) → h
  55. Ray(Z, M_1) → i
  56. Ray(Z, B_1) → j
  57. Ray(Z, L_1) → k
  58. Ray(Z, D_1) → l
  59. Ray(Z, K_1) → m
  60. Ray(Z, J_1) → n
  61. Ray(Z, E_1) → p
  62. Ray(Z, I_1) → q
  63. Ray(Z, A_1) → r
  64. Ray(Z, H_1) → s
  65. Ray(Z, F_1) → t
  66. Ray(Z, G_1) → a_1
  67. Midpoint(T, N_1) → O_1
  68. Midpoint(N_1, C_1) → P_1
  69. Midpoint(U, G_1) → Q_1
  70. Midpoint(G_1, F_1) → R_1
  71. Ray(Z, O_1) → b_1
  72. Ray(Z, P_1) → c_1
  73. Ray(Z, R_1) → d_1
  74. Ray(Z, Q_1) → e_1
  75. Intersect(d, b_1) → S_1,
  76. Intersect(d, f) → T_1,
  77. Intersect(d, c_1) → U_1,
  78. Intersect(d, h) → V_1,
  79. Intersect(d, i) → W_1,
  80. Intersect(d, j) → Z_1,
  81. Intersect(d, k) → B_2,
  82. Intersect(d, l) → C_2,
  83. Intersect(d, m) → D_2,
  84. Intersect(d, n) → E_2,
  85. Intersect(d, p) → F_2,
  86. Intersect(d, q) → G_2,
  87. Intersect(d, r) → H_2,
  88. Intersect(d, s) → I_2,
  89. Intersect(d, t) → J_2,
  90. Intersect(d, d_1) → K_2,
  91. Intersect(d, a_1) → L_2,
  92. Intersect(d, e_1) → M_2,
  93. Polygon(U, M_2, A_2, D_2, C_2, B_2, Z_1, W_1, V_1, U_1, T_1, S_1, L_2, T, K_2, J_2, I_2, H_2, G_2, F_2, E_2) → poly1, u, e_2, a_2, d_3, c_2, b_2, z_1, w_1, v_1, u_1, t_1, m_2, s_1, t_2, l_2, k_2, j_2, i_2, h_2, g_2, f_2

AI Drawing Prompt Reference

Draw a circle and label its center, radius, and diameter. Draw a chord on the circle, find its midpoint, and draw a line perpendicular to the chord that intersects the circle at two points. Connect the center of the circle to these two points to form two congruent right triangles. Draw another line through the center of the circle that intersects the circle at two points, forming a diameter. Draw an arc on the circle and label its endpoints. Finally, draw a sector using the center of the circle and the endpoints of the arc.
The prompt above was compiled from the original drawing commands and is for reference only.