Question

Круг разделенный на два сектора угол одного сектора в 3 раза больше чем угол 2 Вычислите угол 1 сектора решения и ответ решение задачи

Answer 1

У круга угол 360 градусов, разделили на 2 сектора и 1 больше в 3 раза, следовательно меньший можно принять за х, а сумма секторов будет равна 360 градусам.
х+3х=360
4х=360
х=90 - угол меньшего сектора
3х=270 - угол большего сектора
Ответ:270 градусов

Answer 2

Problem Analysis

We are given a circle divided into two sectors, and the angle of one sector is three times larger than the angle of the other sector. We need to calculate the angle of the first sector.

Solution

Let's assume the angle of the second sector is x degrees. According to the problem, the angle of the first sector is three times larger than the angle of the second sector. Therefore, the angle of the first sector is 3x degrees.

Since the sum of the angles in a circle is 360 degrees, we can set up the following equation:

x + 3x = 360

Simplifying the equation, we get:

4x = 360

Dividing both sides of the equation by 4, we find:

x = 90

Therefore, the angle of the second sector is 90 degrees, and the angle of the first sector is three times larger, which is 3 * 90 = 270 degrees.

So, the angle of the first sector is 270 degrees.

Answer

The angle of the first sector is 270 degrees.

Solution Steps

1. Assume the angle of the second sector is x degrees. 2. The angle of the first sector is three times larger than the angle of the second sector, so it is 3x degrees. 3. Set up the equation: x + 3x = 360. 4. Simplify the equation: 4x = 360. 5. Solve for x: x = 90. 6. The angle of the first sector is three times larger than 90 degrees, so it is 3 * 90 = 270 degrees.