+10
3 года назад
Математика
1 - 4 классы
Ответ:
Соотношение градусов и радиан : 180° = π радиан
Формула для перевода градусной меры в радианную
dfrac {alphatextdegreecdot pi}{180textdegree}=alpha
180textdegree
αtextdegree⋅π
=α радиан
begin{gathered}60textdegree=dfrac{60textdegreecdot pi}{180textdegree}=dfrac{pi}3\\120textdegree=dfrac{120textdegreecdot pi}{180textdegree}=dfrac{2pi}3\\150textdegree=dfrac{150textdegreecdot pi}{180textdegree}=dfrac{5pi}6end{gathered}
60textdegree=
60textdegree⋅π
=
3
π
120textdegree=
120textdegree⋅π
2π
150textdegree=
150textdegree⋅π
6
5π
begin{gathered}225textdegree=dfrac{225textdegreecdot pi}{180textdegree}=dfrac{5pi}4\\240textdegree=dfrac{240textdegreecdot pi}{180textdegree}=dfrac{4pi}3\\300textdegree=dfrac{300textdegreecdot pi}{180textdegree}=dfrac{5pi}3\\345textdegree=dfrac{345textdegreecdot pi}{180textdegree}=dfrac{23pi}{12}end{gathered}
225textdegree=
225textdegree⋅π
4
240textdegree=
240textdegree⋅π
4π
300textdegree=
300textdegree⋅π
345textdegree=
345textdegree⋅π
12
23π
все правильно всё проверялось
Ответ:
Соотношение градусов и радиан : 180° = π радиан
Формула для перевода градусной меры в радианную
dfrac {alphatextdegreecdot pi}{180textdegree}=alpha
180textdegree
αtextdegree⋅π
=α радиан
begin{gathered}60textdegree=dfrac{60textdegreecdot pi}{180textdegree}=dfrac{pi}3\\120textdegree=dfrac{120textdegreecdot pi}{180textdegree}=dfrac{2pi}3\\150textdegree=dfrac{150textdegreecdot pi}{180textdegree}=dfrac{5pi}6end{gathered}
60textdegree=
180textdegree
60textdegree⋅π
=
3
π
120textdegree=
180textdegree
120textdegree⋅π
=
3
2π
150textdegree=
180textdegree
150textdegree⋅π
=
6
5π
begin{gathered}225textdegree=dfrac{225textdegreecdot pi}{180textdegree}=dfrac{5pi}4\\240textdegree=dfrac{240textdegreecdot pi}{180textdegree}=dfrac{4pi}3\\300textdegree=dfrac{300textdegreecdot pi}{180textdegree}=dfrac{5pi}3\\345textdegree=dfrac{345textdegreecdot pi}{180textdegree}=dfrac{23pi}{12}end{gathered}
225textdegree=
180textdegree
225textdegree⋅π
=
4
5π
240textdegree=
180textdegree
240textdegree⋅π
=
3
4π
300textdegree=
180textdegree
300textdegree⋅π
=
3
5π
345textdegree=
180textdegree
345textdegree⋅π
=
12
23π