IMO Level 1- Mathematics Olympiad (SOF) Class 4: Questions 449 - 449 of 614

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Question number: 449

» Geometry

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Question

How many circles are there in the given figure?

Polygon poly7 Polygon poly7: Polygon [O, P, 3] Polygon poly7 Polygon poly7: Polygon [O, P, 3] Polygon poly8 Polygon poly8: Polygon [R, O, 3] Polygon poly8 Polygon poly8: Polygon [R, O, 3] Polygon poly9 Polygon poly9: Polygon [T, R, 3] Polygon poly9 Polygon poly9: Polygon [T, R, 3] Triangle poly10 Triangle poly10: Polygon P, D_1, O Triangle poly11 Triangle poly11: Polygon O, E_1, R Triangle poly12 Triangle poly12: Polygon R, F_1, T Quadrilateral poly13 Quadrilateral poly13: Polygon H_1, G_1, I_1, J_1 Polygon poly1 Polygon poly1: Polygon [E, G, 3] Polygon poly1 Polygon poly1: Polygon [E, G, 3] Polygon poly2 Polygon poly2: Polygon [G, K, 3] Polygon poly2 Polygon poly2: Polygon [G, K, 3] Polygon poly3 Polygon poly3: Polygon [K, N, 3] Polygon poly3 Polygon poly3: Polygon [K, N, 3] Polygon poly4 Polygon poly4: Polygon [N, L_1,3] Polygon poly4 Polygon poly4: Polygon [N, L_1,3] Polygon poly5 Polygon poly5: Polygon [E, Q_1,3] Polygon poly5 Polygon poly5: Polygon [E, Q_1,3] Polygon poly6 Polygon poly6: Polygon [L_1, R_1,3] Polygon poly6 Polygon poly6: Polygon [L_1, R_1,3] Quadrilateral poly14 Quadrilateral poly14: Polygon V, W, P_1, T_1 Polygon poly15 Polygon poly15: Polygon [P, U_1,3] Polygon poly15 Polygon poly15: Polygon [P, U_1,3] Triangle poly16 Triangle poly16: Polygon P, U_1, W_1 Quadrilateral poly17 Quadrilateral poly17: Polygon Z_1, A_2, D_2, E_2 Circle c Circle c: Circle through O_1 with center N_1 Circle c_1 Circle c_1: Circle through B with center A Circle r_1 Circle r_1: Circle through G_2 with center F_2 Circle c_2 Circle c_2: Circle through I_2 with center H_2 Circle k_2 Circle k_2: Circle through K_2 with center J_2 Circle q_2 Circle q_2: Circle through M_2 with center L_2 Circle c_3 Circle c_3: Circle through O_2 with center N_2 Circle d_3 Circle d_3: Circle through Q_2 with center P_2 Circle e_3 Circle e_3: Circle through S_2 with center R_2 Segment f_1 Segment f_1: Segment [O, P] of Polygon poly7 Segment g_1 Segment g_1: Segment [P, Q] of Polygon poly7 Segment h_1 Segment h_1: Segment [Q, O] of Polygon poly7 Segment i_1 Segment i_1: Segment [R, O] of Polygon poly8 Segment j_1 Segment j_1: Segment [O, S] of Polygon poly8 Segment k_1 Segment k_1: Segment [S, R] of Polygon poly8 Segment l_1 Segment l_1: Segment [T, R] of Polygon poly9 Segment m_1 Segment m_1: Segment [R, U] of Polygon poly9 Segment n_1 Segment n_1: Segment [U, T] of Polygon poly9 Segment s_1 Segment s_1: Segment [B_1, C_1] Segment s_2 Segment s_2: Segment [B_2, C_2] Segment s_3 Segment s_3: Segment [B_3, C_3] Segment o Segment o: Segment [P, D_1] of Triangle poly10 Segment p_2 Segment p_2: Segment [D_1, O] of Triangle poly10 Segment d_1 Segment d_1: Segment [O, P] of Triangle poly10 Segment r_2 Segment r_2: Segment [O, E_1] of Triangle poly11 Segment o_1 Segment o_1: Segment [E_1, R] of Triangle poly11 Segment e_1 Segment e_1: Segment [R, O] of Triangle poly11 Segment t_1 Segment t_1: Segment [R, F_1] of Triangle poly12 Segment r_3 Segment r_3: Segment [F_1, T] of Triangle poly12 Segment f_2 Segment f_2: Segment [T, R] of Triangle poly12 Segment h_2 Segment h_2: Segment [H_1, G_1] of Quadrilateral poly13 Segment g_2 Segment g_2: Segment [G_1, I_1] of Quadrilateral poly13 Segment i_2 Segment i_2: Segment [I_1, J_1] of Quadrilateral poly13 Segment j_2 Segment j_2: Segment [J_1, H_1] of Quadrilateral poly13 Segment f Segment f: Segment [E, G] of Polygon poly1 Segment g Segment g: Segment [G, I] of Polygon poly1 Segment h Segment h: Segment [I, E] of Polygon poly1 Segment i Segment i: Segment [G, K] of Polygon poly2 Segment j Segment j: Segment [K, M] of Polygon poly2 Segment k Segment k: Segment [M, G] of Polygon poly2 Segment l Segment l: Segment [K, N] of Polygon poly3 Segment m Segment m: Segment [N, K_1] of Polygon poly3 Segment n Segment n: Segment [K_1, K] of Polygon poly3 Segment p Segment p: Segment [N, L_1] of Polygon poly4 Segment q Segment q: Segment [L_1, M_1] of Polygon poly4 Segment r Segment r: Segment [M_1, N] of Polygon poly4 Segment t Segment t: Segment [E, Q_1] of Polygon poly5 Segment a Segment a: Segment [Q_1, R_1] of Polygon poly5 Segment b Segment b: Segment [R_1, E] of Polygon poly5 Segment e Segment e: Segment [L_1, R_1] of Polygon poly6 Segment p_1 Segment p_1: Segment [R_1, S_1] of Polygon poly6 Segment a_1 Segment a_1: Segment [S_1, L_1] of Polygon poly6 Segment v Segment v: Segment [V, W] of Quadrilateral poly14 Segment w Segment w: Segment [W, P_1] of Quadrilateral poly14 Segment p_3 Segment p_3: Segment [P_1, T_1] of Quadrilateral poly14 Segment t_2 Segment t_2: Segment [T_1, V] of Quadrilateral poly14 Segment s Segment s: Segment [P, U_1] of Polygon poly15 Segment d Segment d: Segment [U_1, V_1] of Polygon poly15 Segment q_1 Segment q_1: Segment [V_1, P] of Polygon poly15 Segment w_1 Segment w_1: Segment [P, U_1] of Triangle poly16 Segment p_4 Segment p_4: Segment [U_1, W_1] of Triangle poly16 Segment u_1 Segment u_1: Segment [W_1, P] of Triangle poly16 Segment z_1 Segment z_1: Segment [Z_1, A_2] of Quadrilateral poly17 Segment a_2 Segment a_2: Segment [A_2, D_2] of Quadrilateral poly17 Segment d_2 Segment d_2: Segment [D_2, E_2] of Quadrilateral poly17 Segment e_2 Segment e_2: Segment [E_2, Z_1] of Quadrilateral poly17

Image Shows the Many Circles

Find the figure contains how many circles

Choices

Choice (4) Response

a.

7

b.

8

c.

10

d.

9