Con dos de tus compañeros o compañeras busca la medida en grados sexagesimales y en radianes de los ángulos positivos y negativos ubicados sobre una circunferencia y cuya medida sea múltiplo de 1/24 de giro
Respuestas
Una circunferencia son 360° o 2π radianes. La veinticuatroava parte de un giro son 15° o 1/12 radianes.
Veamos la secuencia:
Ángulos positivos
1/24 giro = 15° = π/12 rad
2/24 giro = 30° = π/6 rad
3/24 giro = 45° = π/4 rad
4/24 giro = 60° = π/3 rad
5/24 giro = 75° = 5π/12 rad
6/24 giro = 90° = π/2 rad
7/24 giro = 105° = 7π/12 rad
8/24 giro = 120° = 2π/3 rad
9/24 giro = 135° = 3π/4 rad
10/24 giro = 150° = 5π/6 rad
11/24 giro = 165° = 11π/12 rad
12/24 giro = 180° = π rad
13/24 giro = 195° = 13π/12 rad
14/24 giro = 210° = 7π/6 rad
15/24 giro = 225° = 5π/4 rad
16/24 giro = 240° = 4π/3 rad
17/24 giro = 255° = 17π/12 rad
18/24 giro = 270° = 3π/2 rad
19/24 giro = 285° = 19π/12 rad
20/24 giro = 300° = 5π/3 rad
21/24 giro = 315° = 7π/4 rad
22/24 giro = 330° = 11π/6 rad
23/24 giro = 345° = 23π/12 rad
24/24 giro = 360° = 2π rad
Ángulos negativos
1/24 giro = -15° = -π/12 rad
2/24 giro = -30° = -π/6 rad
3/24 giro = -45° = -π/4 rad
4/24 giro = -60° = -π/3 rad
5/24 giro = -75° = -5π/12 rad
6/24 giro = -90° = -π/2 rad
7/24 giro = -105° = -7π/12 rad
8/24 giro = -120° = -2π/3 rad
9/24 giro = -135° = -3π/4 rad
10/24 giro = -150° = -5π/6 rad
11/24 giro = -165° = -11π/12 rad
12/24 giro = -180° = -π rad
13/24 giro = -195° = -13π/12 rad
14/24 giro = -210° = -7π/6 rad
15/24 giro = -225° = -5π/4 rad
16/24 giro = -240° = -4π/3 rad
17/24 giro = -255° = -17π/12 rad
18/24 giro = -270° = -3π/2 rad
19/24 giro = -285° = -19π/12 rad
20/24 giro = -300° = -5π/3 rad
21/24 giro = -315° = -7π/4 rad
22/24 giro = -330° = -11π/6 rad
23/24 giro = -345° = -23π/12 rad
24/24 giro = -360° = -2π rad