Question

Начерти в круге рядом друг с другом 4 сектора, если угол первого сектора состовляет 1/3 полнооо угла, угол второго 1/2 прямого угла, а угол третьего 1/3 развёрнуто го угла. Найди величину угла четвёртого сектора. Спасибо.

Answer 1

Ответ:

135

Пошаговое объяснение:

360:3=120 -нашли 1 угол, 45 - нашли 2 угол, 180:3=60 нашли 3 угол,

360-120-45-60=135 - 4 угол

Answer 2

Drawing the Sectors

To draw the sectors in a circle, we need to divide the circle into four parts based on the given angles. Let's label the sectors as A, B, C, and D.

The angle of the first sector is 1/3 of a full angle. The angle of the second sector is 1/2 of a right angle. The angle of the third sector is 1/3 of a complete angle.

To find the angle of the fourth sector, we need to calculate the remaining angle left in the circle after the first three sectors are drawn.

Calculating the Fourth Sector Angle

To calculate the fourth sector angle, we need to subtract the sum of the angles of the first three sectors from a full angle.

Let's denote the full angle as 360 degrees.

The angle of the first sector = 1/3 * 360 degrees = 120 degrees. The angle of the second sector = 1/2 * 90 degrees = 45 degrees. The angle of the third sector = 1/3 * 360 degrees = 120 degrees.

Now, let's calculate the angle of the fourth sector:

360 degrees - (120 degrees + 45 degrees + 120 degrees) = 75 degrees.

Therefore, the angle of the fourth sector is 75 degrees.

Conclusion

In a circle divided into four sectors, where the angle of the first sector is 1/3 of a full angle, the angle of the second sector is 1/2 of a right angle, and the angle of the third sector is 1/3 of a complete angle, the angle of the fourth sector is 75 degrees.

I hope this helps! Let me know if you have any further questions.