Area of the Unit Circle

GeoGebra Commands & Parameters

1. Point(xAxis) → A
2. Circle(A, 1) → c
3. Intersect(c, xAxis, 2) → B
4. Rotate(B, centralangle, A) → B'
5. Angle(B, A, B') → α
6. Polygon(B, B', n) → poly1, f, p, e_{10}, C, D, E, F, G, H, I, J, K, q, L, M, N, O, P, Q, R, S, T, U, r, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, S_2, s, U_2, W_2, Z_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3, t, H_3, S_3, T_3, U_3, V_3, W_3, Z_3, A_4, B_4, K_4, b, L_4, M_4, N_4, O_4, U_4, V_4, W_4, Z_4, A_5, B_5, d, C_5, K_5, L_5, M_5, N_5, O_5, P_5, Q_5, R_5, S_5, e, T_5, G_6, H_6, I_6, J_6, K_6, L_6, M_6, N_6, O_6, f_1, P_6, Q_6, R_6, G_7, H_7, I_7, J_7, K_7, L_7, M_7, g_1, N_7, W_7, Z_7, A_8, B_8, C_8, D_8, K_8, L_8, g, h_1, i_1, j_1, k_1, l_1, m_1, n_1, p_1, q_1, r_1, h, s_1, s_3, a_3, d_3, e_3, f_4, g_4, h_4, i_4, j_4, i, k_4, l_4, m_4, f_5, g_5, h_5, i_5, j_5, k_5, l_5, j, m_5, c_5, d_5, e_5, f_6, g_6, m_6, n_6, p_6, q_6, k, r_6, s_6, t_6, h_7, i_7, j_7, k_7, l_7, m_7, n_7, l, p_7, q_7, r_7, i_8, j_8, k_8, l_8, m_8, n_8, p_8, m, q_8, r_8, s_8, t_8, a_8, n_9, p_9, q_9, r_9, s_9, n_4, t_9, a_9, b_9, k_{10}, l_{10}, m_{10}, n_{10}, p_{10}, q_{10}, d_{10}
7. Segment(B', A) → a_1
8. Segment(A, B) → b_1
9. OrthogonalLine(B', a_1) → c_1
10. OrthogonalLine(B, b_1) → d_1
11. Segment(C, A) → e_1
12. OrthogonalLine(C, e_1) → f_2
13. Intersect(f_2, c_1) → G_1
14. Intersect(d_1, c_1) → H_1
15. Polygon(H_1, G_1, n) → poly2, g_2, q_2, g_{11}, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, r_2, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, s_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, T_2, t_2, V_2, I_3, J_3, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, a_2, R_3, C_4, D_4, E_4, F_4, G_4, H_4, I_4, J_4, P_4, b_2, Q_4, R_4, S_4, T_4, D_5, E_5, F_5, G_5, H_5, I_5, c_2, J_5, U_5, V_5, W_5, Z_5, A_6, B_6, C_6, D_6, E_6, d_2, F_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, O_7, P_7, Q_7, R_7, S_7, T_7, U_7, f_3, V_7, E_8, F_8, G_8, H_8, I_8, J_8, M_8, N_8, h_2, g_3, h_3, i_3, j_3, k_3, l_3, m_3, n_3, p_3, q_3, i_2, r_3, t_3, b_3, p_4, q_4, r_4, s_4, t_4, a_4, b_4, j_2, c_4, d_4, e_4, n_5, p_5, q_5, r_5, s_5, t_5, a_5, k_2, b_5, h_6, i_6, j_6, k_6, l_6, a_6, b_6, c_6, d_6, l_2, e_6, f_7, g_7, s_7, t_7, a_7, b_7, c_7, d_7, e_7, m_2, f_8, g_8, h_8, b_8, c_8, d_8, e_8, f_9, g_9, h_9, n_2, i_9, j_9, k_9, l_9, m_9, c_9, d_9, e_9, f_{10}, g_{10}, p_2, h_{10}, i_{10}, j_{10}, r_{10}, s_{10}, t_{10}, a_{10}, b_{10}, c_{10}, f_{11}
16. Circle(O_2, 1) → c_3
17. Vector(N_2, P_2) → v
18. Vector(M_2, Q_2) → w
19. Vector(N_2, R_2) → a