Compare Perimeters of Regular Polygons with Circumference by Stacie Bender
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This example demonstrates the comparison between the perimeters of regular polygons and the circumference of their circumscribed circles. It involves core mathematical concepts such as regular polygons, perimeters, circumferences, trigonometric functions, and coordinate geometry. The construction utilizes GeoGebra commands like Polygon, Perimeter, PointIn, LineBisector, Intersect, Segment, and Circle. It is suitable for high school students studying geometry, trigonometry, and coordinate geometry.
GeoGebra Commands & Parameters
Polygon(A, B, n) → poly1, f, q, l_5, C, D, E, F, G, H, I, J, K, r_5, L, M, N, O, P, Q, R, S, T, U, s, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, t, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, b, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, c, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, M_2, d, N_2, O_2, P_2, Q_2, R_2, S_2, T_2, U_2, V_2, W_2, e, Z_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3, H_3, I_3, f_1, J_3, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, R_3, S_3, g_1, T_3, U_3, V_3, W_3, Z_3, A_4, B_4, C_4, D_4, g, h_1, i_1, j_1, k_1, l_1, m_1, a, p_1, q_1, r_1, h, s_1, t_1, a_1, b_1, c_1, d_1, e_1, f_2, g_2, h_2, i, i_2, j_2, k_2, l_2, m_2, n_2, p_2, q_2, r_2, s_2, j, t_2, a_2, b_2, c_2, d_2, e_2, f_3, g_3, h_3, i_3, k, j_3, k_3, l_3, m_3, n_3, p_3, q_3, r_3, s_3, t_3, l, a_3, b_3, c_3, d_3, e_3, f_4, g_4, h_4, i_4, j_4, m, k_4, l_4, m_4, n_4, p_4, q_4, r_4, s_4, t_4, a_4, p, b_4, c_4, d_4, e_4, f_5, g_5, h_5, i_5, j_5, k_5Perimeter(poly1) → perimeterpoly1PointIn(poly1) → Pointpoly1LineBisector(f) → m_5LineBisector(g) → n_5Intersect(m_5, n_5) → E_4Segment(E_4, B) → rCircle(E_4, B) → c_5