Archimedes' Pi Approximation

GeoGebra Commands & Parameters

1. Polygon(A, B, a) → poly1, f, m_1, t_{10}, C, E, F, G, I, P, R, T, V, p_1, Z, B_1, D_1, F_1, H_1, J_1, L_1, M_1, P_1, R_1, r_1, T_1, V_1, Z_1, B_2, D_2, F_2, H_2, J_2, L_2, N_2, t_1, P_2, Q_2, R_2, S_2, T_2, B_3, C_3, D_3, E_3, F_3, b_1, L_3, M_3, N_3, R_3, S_3, V_3, W_3, B_4, D_4, F_4, d_1, G_4, J_4, K_4, L_4, P_4, Q_4, T_4, U_4, Z_4, B_5, f_2, D_5, E_5, H_5, I_5, L_5, M_5, N_5, R_5, S_5, T_5, h_2, U_5, V_5, W_5, F_6, G_6, J_6, K_6, L_6, M_6, R_6, j_2, S_6, T_6, Z_6, A_7, B_7, C_7, D_7, E_7, L_7, M_7, k_2, N_7, R_7, S_7, T_7, U_7, B_8, C_8, D_8, E_8, g, n_2, q_2, s_2, a_2, c_2, e_2, g_3, i_3, k_3, m_3, h, p_3, r_3, t_3, a_3, b_3, c_3, d_3, j_4, k_4, l_4, i, m_4, n_4, a_4, b_4, c_4, g_5, h_5, k_5, l_5, p_5, j, r_5, t_5, a_5, d_5, e_5, f_6, j_6, k_6, n_6, p_6, t, s_6, a_6, c_6, d_6, g_7, h_7, k_7, l_7, m_7, r_7, g_1, s_7, t_7, a_7, b_7, c_7, j_8, k_8, n_8, p_8, q_8, i_1, r_8, c_8, d_8, e_8, i_9, j_9, k_9, l_9, m_9, n_9, k_1, b_9, c_9, d_9, h_{10}, i_{10}, j_{10}, k_{10}, q_{10}, r_{10}, s_{10}
2. Centroid(poly1) → D
3. Distance(D, Segment[B, C]) → b
4. Circle(D, b) → c
5. If(a ≟ 3, Intersect[OrthogonalLine[A, Line[B, C]], Line[B, C]], Intersect[c, Line[A, C]]) → N
6. If(a ≟ 3, Intersect[OrthogonalLine[B, Line[A, C]], Line[A, C]], Intersect[c, Line[B, E]]) → M
7. Perimeter(poly1) → k
8. Polygon(N, M, a) → poly2, l, n_1, d_{10}, J, K, L, H, O, Q, S, U, W, q_1, A_1, C_1, E_1, G_1, I_1, K_1, N_1, O_1, Q_1, S_1, s_1, U_1, W_1, A_2, C_2, E_2, G_2, I_2, K_2, M_2, O_2, a_1, U_2, V_2, W_2, Z_2, A_3, G_3, H_3, I_3, J_3, K_3, c_1, O_3, P_3, Q_3, T_3, U_3, Z_3, A_4, C_4, E_4, H_4, e_1, I_4, M_4, N_4, O_4, R_4, S_4, V_4, W_4, A_5, C_5, g_2, F_5, G_5, J_5, K_5, O_5, P_5, Q_5, Z_5, A_6, B_6, i_2, C_6, D_6, E_6, H_6, I_6, N_6, O_6, P_6, Q_6, U_6, l_2, V_6, W_6, F_7, G_7, H_7, I_7, J_7, K_7, O_7, P_7, m_2, Q_7, V_7, W_7, Z_7, A_8, F_8, G_8, H_8, I_8, m, p_2, r_2, t_2, b_2, d_2, f_3, h_3, j_3, l_3, n_3, n, q_3, s_3, e_3, f_4, g_4, h_4, i_4, p_4, q_4, r_4, p, s_4, t_4, d_4, e_4, f_5, i_5, j_5, m_5, n_5, q_5, q, s_5, b_5, c_5, g_6, h_6, i_6, l_6, m_6, q_6, r_6, f_1, t_6, b_6, e_6, f_7, i_7, j_7, n_7, p_7, q_7, d_7, h_1, e_7, f_8, g_8, h_8, i_8, l_8, m_8, s_8, t_8, a_8, j_1, b_8, f_9, g_9, h_9, p_9, q_9, r_9, s_9, t_9, a_9, l_1, e_9, f_{10}, g_{10}, l_{10}, m_{10}, n_{10}, p_{10}, a_{10}, b_{10}, c_{10}
9. Perimeter(poly2) → e
10. Circumference(c) → r