Question

Круг разделен на три сектора ,углы которых относятся как 4:5:6. Найдитецентральный угол соответствующий каждому сектору

Answer 1

1)4+5+6=15 частей
2)Круг360°:15=24° одна часть
3)4*24=96° первый сектор
4)5*24=120° средний сектор
5)6*24=144° третий сектор

Answer 2

4+5+6=15 частей всего в круге
360°/15=24° угол одной части
24°·4=96° 
24°·5=120°
24°·6=144°

Answer 3

Finding the Central Angle for Each Sector in a Circle

To find the central angle for each sector in the circle, where the angles are in the ratio of 4:5:6, we can use the following approach:

1. Calculate the Total Angle of the Circle: - The total angle of a circle is 360 degrees.

2. Determine the Proportional Values for the Angles: - The angles are in the ratio of 4:5:6. - We can calculate the proportional values for these ratios.

3. Calculate the Central Angle for Each Sector: - Using the proportional values, we can calculate the central angle for each sector.

Let's proceed with the calculations.

Calculation

1. Total Angle of the Circle: - The total angle of a circle is 360 degrees.

2. Proportional Values for the Angles: - Given the ratio of 4:5:6, we can calculate the proportional values: - Let's assume the angles are 4x, 5x, and 6x.

3. Calculate the Central Angle for Each Sector: - Using the proportional values, we can calculate the central angle for each sector: - The central angles for the sectors are 4x, 5x, and 6x.

Conclusion

The central angle corresponding to each sector in the circle, where the angles are in the ratio of 4:5:6, are 4x, 5x, and 6x, respectively.