正多边形到圆的转换（面积与周长）

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → center
2. Circle(center, radius) → c
3. Point(c) → A
4. Rotate(A, (360 * ° / sides), center) → B
5. Polygon(A, B, sides) → poly1, b, n, n_5, p_5, q_5, r_5, s_5, t_5, a_5, b_5, c_5, d_5, p, e_5, f_6, g_6, h_6, i_6, j_6, k_6, l_6, m_6, n_6, q, p_6, q_6, r_6, s_6, t_6, a_6, b_6, c_6, d_6, e_6, r, f_7, g_7, h_7, i_7, j_7, k_7, l_7, m_7, n_7, p_7, s, q_7, r_7, s_7, t_7, a_7, b_7, c_7, d_7, e_7, f_8, t, g_8, h_8, i_8, j_8, k_8, l_8, m_8, n_8, p_8, q_8, f_1, r_8, s_8, t_8, a_8, b_8, c_8, d_8, e_8, f_9, g_9, g_1, h_9, i_9, j_9, k_9, l_9, m_9, n_9, p_9, q_9, r_9, h_1, s_9, t_9, a_9, b_9, c_9, d_9, e_9, f_{10}, g_{10}, h_{10}, i_1, i_{10}, j_{10}, k_{10}, l_{10}, m_{10}, n_{10}, p_{10}, q_{10}, r_{10}, s_{10}, d, j_1, t_{10}, a_{10}, b_{10}, c_{10}, d_{10}, e_{10}, f_{11}, g_{11}, h_{11}, i_{11}, k_1, j_{11}, k_{11}, l_{11}, m_{11}, n_{11}, p_{11}, q_{11}, r_{11}, s_{11}, t_{11}, l_1, a_{11}, b_{11}, c_{11}, d_{11}, e_{11}, f_{12}, g_{12}, h_{12}, i_{12}, j_{12}, m_1, k_{12}, l_{12}, m_{12}, n_{12}, p_{12}, q_{12}, r_{12}, s_{12}, t_{12}, a_{12}, n_1, b_{12}, c_{12}, d_{12}, e_{12}, f_{13}, g_{13}, h_{13}, i_{13}, j_{13}, k_{13}, p_1, l_{13}, m_{13}, n_{13}, p_{13}, q_{13}, r_{13}, s_{13}, t_{13}, a_{13}, b_{13}, q_1, c_{13}, d_{13}, e_{13}, f_{14}, g_{14}, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}, r_1, m_{14}, n_{14}, p_{14}, q_{14}, r_{14}, s_{14}, t_{14}, a_{14}, b_{14}, c_{14}, s_1, d_{14}, e_{14}, f_{15}, g_{15}, h_{15}, i_{15}, j_{15}, k_{15}, l_{15}, m_{15}, t_1, n_{15}, p_{15}, q_{15}, r_{15}, s_{15}, t_{15}, a_{15}, b_{15}, c_{15}, d_{15}, a, a_1, e_{15}, f_{16}, g_{16}, h_{16}, i_{16}, j_{16}, k_{16}, l_{16}, m_{16}, n_{16}, b_1, p_{16}, q_{16}, r_{16}, s_{16}, t_{16}, a_{16}, b_{16}, c_{16}, d_{16}, e_{16}, c_1, f_{17}, g_{17}, h_{17}, i_{17}, j_{17}, k_{17}, l_{17}, m_{17}, n_{17}, p_{17}, d_1, q_{17}, r_{17}, s_{17}, t_{17}, a_{17}, b_{17}, c_{17}, d_{17}, e_{17}, f_{18}, e_1, g_{18}, h_{18}, i_{18}, j_{18}, k_{18}, l_{18}, m_{18}, n_{18}, p_{18}, q_{18}, f_2, r_{18}, s_{18}, t_{18}, a_{18}, b_{18}, c_{18}, d_{18}, e_{18}, f_{19}, g_{19}, g_2, h_{19}, C, D, E, F, G, H, I, J, K, h_2, L, M, N, O, P, Q, R, S, T, U, i_2, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, j_2, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, f, k_2, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, l_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, M_2, m_2, N_2, O_2, P_2, Q_2, R_2, S_2, T_2, U_2, V_2, W_2, n_2, Z_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3, H_3, I_3, p_2, J_3, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, R_3, S_3, q_2, T_3, U_3, V_3, W_3, Z_3, A_4, B_4, C_4, D_4, E_4, r_2, F_4, G_4, H_4, I_4, J_4, K_4, L_4, M_4, N_4, O_4, s_2, P_4, Q_4, R_4, S_4, T_4, U_4, V_4, W_4, Z_4, A_5, t_2, B_5, C_5, D_5, E_5, F_5, G_5, H_5, I_5, J_5, K_5, a_2, L_5, M_5, N_5, O_5, P_5, Q_5, R_5, S_5, T_5, U_5, i, b_2, V_5, W_5, Z_5, A_6, B_6, C_6, D_6, E_6, F_6, G_6, c_2, H_6, I_6, J_6, K_6, L_6, M_6, N_6, O_6, P_6, Q_6, d_2, R_6, S_6, T_6, U_6, V_6, W_6, Z_6, A_7, B_7, C_7, e_2, D_7, E_7, F_7, G_7, H_7, I_7, J_7, K_7, L_7, M_7, f_3, N_7, O_7, P_7, Q_7, R_7, S_7, T_7, U_7, V_7, W_7, g_3, Z_7, A_8, B_8, C_8, D_8, E_8, F_8, G_8, H_8, I_8, h_3, J_8, K_8, L_8, M_8, N_8, O_8, P_8, Q_8, R_8, S_8, i_3, T_8, U_8, V_8, W_8, Z_8, A_9, B_9, C_9, D_9, E_9, j_3, F_9, G_9, H_9, I_9, J_9, K_9, L_9, M_9, N_9, O_9, k_3, P_9, Q_9, R_9, S_9, T_9, U_9, V_9, W_9, Z_9, A_{10}, j, l_3, B_{10}, C_{10}, D_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}, m_3, L_{10}, M_{10}, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}, S_{10}, T_{10}, U_{10}, n_3, V_{10}, W_{10}, Z_{10}, A_{11}, B_{11}, C_{11}, D_{11}, E_{11}, F_{11}, G_{11}, p_3, H_{11}, I_{11}, J_{11}, K_{11}, L_{11}, M_{11}, N_{11}, O_{11}, P_{11}, Q_{11}, q_3, R_{11}, S_{11}, T_{11}, U_{11}, V_{11}, W_{11}, Z_{11}, A_{12}, B_{12}, C_{12}, r_3, D_{12}, E_{12}, F_{12}, G_{12}, H_{12}, I_{12}, J_{12}, K_{12}, L_{12}, M_{12}, s_3, N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}, S_{12}, T_{12}, U_{12}, V_{12}, W_{12}, t_3, Z_{12}, A_{13}, B_{13}, C_{13}, D_{13}, E_{13}, F_{13}, G_{13}, H_{13}, I_{13}, a_3, J_{13}, K_{13}, L_{13}, M_{13}, N_{13}, O_{13}, P_{13}, Q_{13}, R_{13}, S_{13}, b_3, T_{13}, U_{13}, V_{13}, W_{13}, Z_{13}, A_{14}, B_{14}, C_{14}, D_{14}, E_{14}, k, c_3, F_{14}, G_{14}, H_{14}, I_{14}, J_{14}, K_{14}, L_{14}, M_{14}, N_{14}, O_{14}, d_3, P_{14}, Q_{14}, R_{14}, S_{14}, T_{14}, U_{14}, V_{14}, W_{14}, Z_{14}, e_3, f_4, g_4, h_4, i_4, j_4, k_4, l_4, l, m_4, n_4, p_4, q_4, r_4, s_4, t_4, a_4, b_4, c_4, m, d_4, e_4, f_5, g_5, h_5, i_5, j_5, k_5, l_5, m_5
6. Segment(center, A) → g