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Area of Square

Area of Square
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2023-03-13 03:58
PolygonCoordinate GeometryGeometric Construction
In collections geometriadinamica.es
This example demonstrates the calculation of the area of a square. Key mathematical concepts include geometric construction and area calculation. Using GeoGebra commands such as Circle, Ray, OrthogonalLine, Intersect, Polygon, Mirror, Segment, and Point, a square is constructed and its area is calculated. Suitable for middle school and above students learning geometry and area calculation.

GeoGebra Commands & Parameters

  1. Circle(A, lado) → c
  2. Ray(A, B) → a
  3. Circle(A, lado) → d
  4. OrthogonalLine(A, a) → b
  5. Intersect(d, b, 1) → C
  6. OrthogonalLine(C, b) → e
  7. Intersect(c, a, 1) → D
  8. OrthogonalLine(D, a) → f
  9. Intersect(f, e) → E
  10. Polygon(A, C, E, D) → P, a_1, c_1, e_1, d_1
  11. Circle(A, g) → h
  12. Intersect(h, a_1) → F,
  13. Intersect(h, d_1) → G,
  14. Mirror(A, G) → H
  15. Mirror(G, H) → I
  16. Mirror(H, I) → J
  17. Mirror(I, J) → K
  18. Mirror(J, K) → L
  19. Mirror(K, L) → M
  20. Mirror(L, M) → N
  21. Mirror(M, N) → O
  22. Mirror(N, O) → Q
  23. Mirror(O, Q) → R
  24. Mirror(Q, R) → S
  25. Mirror(R, S) → T
  26. Mirror(S, T) → U
  27. Mirror(A, F) → V
  28. Mirror(F, V) → W
  29. Mirror(V, W) → Y
  30. Mirror(W, Y) → Z
  31. Mirror(Y, Z) → A_1
  32. Mirror(Z, A_1) → B_1
  33. Mirror(A_1, B_1) → C_1
  34. Mirror(B_1, C_1) → D_1
  35. OrthogonalLine(G, d_1) → i
  36. OrthogonalLine(H, d_1) → j
  37. OrthogonalLine(I, d_1) → k
  38. OrthogonalLine(J, d_1) → l
  39. OrthogonalLine(K, d_1) → m
  40. OrthogonalLine(L, d_1) → n
  41. OrthogonalLine(M, d_1) → p
  42. OrthogonalLine(N, d_1) → q
  43. OrthogonalLine(O, d_1) → r
  44. OrthogonalLine(Q, d_1) → s
  45. OrthogonalLine(R, d_1) → t
  46. OrthogonalLine(S, d_1) → b_1
  47. OrthogonalLine(T, d_1) → f_1
  48. OrthogonalLine(U, d_1) → g_1
  49. OrthogonalLine(F, a_1) → h_1
  50. OrthogonalLine(V, a_1) → i_1
  51. OrthogonalLine(W, a_1) → j_1
  52. OrthogonalLine(Y, a_1) → k_1
  53. OrthogonalLine(Z, a_1) → l_1
  54. OrthogonalLine(A_1, a_1) → m_1
  55. OrthogonalLine(B_1, a_1) → n_1
  56. OrthogonalLine(C_1, a_1) → p_1
  57. OrthogonalLine(D_1, a_1) → q_1
  58. Intersect(c_1, i) → E_1
  59. Intersect(r, c_1) → F_1
  60. Segment(F_1, O) → r_1
  61. Intersect(j, c_1) → G_1
  62. Intersect(k, c_1) → H_1
  63. Intersect(l, c_1) → I_1
  64. Intersect(m, c_1) → J_1
  65. Intersect(n, c_1) → K_1
  66. Intersect(p, c_1) → L_1
  67. Intersect(q, c_1) → M_1
  68. Intersect(s, c_1) → N_1
  69. Intersect(t, c_1) → O_1
  70. Intersect(b_1, c_1) → P_1
  71. Intersect(f_1, c_1) → Q_1
  72. Intersect(g_1, c_1) → R_1
  73. Intersect(e_1, q_1) → S_1
  74. Intersect(e_1, p_1) → T_1
  75. Intersect(e_1, n_1) → U_1
  76. Intersect(m_1, e_1) → V_1
  77. Intersect(l_1, e_1) → W_1
  78. Intersect(k_1, e_1) → Y_1
  79. Intersect(j_1, e_1) → Z_1
  80. Intersect(i_1, e_1) → A_2
  81. Intersect(h_1, e_1) → B_2
  82. Segment(E_1, G) → s_1
  83. Segment(G_1, H) → t_1
  84. Segment(H_1, I) → a_2
  85. Segment(I_1, J) → b_2
  86. Segment(J_1, K) → c_2
  87. Segment(K_1, L) → d_2
  88. Segment(L_1, M) → e_2
  89. Segment(M_1, N) → f_2
  90. Segment(N_1, Q) → g_2
  91. Segment(O_1, R) → h_2
  92. Segment(P_1, S) → i_2
  93. Segment(Q_1, T) → j_2
  94. Segment(R_1, U) → k_2
  95. Segment(D_1, S_1) → l_2
  96. Segment(C_1, T_1) → m_2
  97. Segment(B_1, U_1) → n_2
  98. Segment(A_1, V_1) → p_2
  99. Segment(Z, W_1) → q_2
  100. Segment(Y, Y_1) → r_2
  101. Segment(W, Z_1) → s_2
  102. Segment(V, A_2) → t_2
  103. Segment(F, B_2) → a_3
  104. Circle(C_2, o) → c_3
  105. Point(c_3) → D_2
  106. Segment(C_2, D_2) → b_3
  107. Circle(D_2, C_2) → d_3
  108. OrthogonalLine(D_2, b_3) → e_3
  109. OrthogonalLine(C_2, b_3) → f_3
  110. Intersect(c_3, f_3, 2) → E_2
  111. Intersect(d_3, e_3, 2) → F_2
  112. Polygon(E_2, F_2, D_2, C_2) → P_2, e_4, f_4, d_4, c_4

AI Drawing Prompt Reference

Draw a square with a circle centered at the square's center, with a radius equal to the square's side length. First, draw a circle with its center at the square's center and a radius equal to the square's side length. Then, draw a ray extending outward from the center. Next, draw a line segment perpendicular to the ray. Find the intersection point of the circle and the perpendicular line segment. Draw another line segment perpendicular to the new perpendicular line segment. Find the intersection point of the circle and the new perpendicular line segment. Continue this process to draw a square. Finally, draw a circle with its center at the square's center and a radius equal to the square's side length.
The prompt above was compiled from the original drawing commands and is for reference only.