Question

Отметьте точки M и K так чтобы MK=9см. Проведите две окружности радиусом 4см с центром M и радиусом 3см с центром K.Пересекаютя ли эти окружности?

Answer 1

Ответ:

Нет

Пошаговое объяснения:

Мы отметили точки М и К и вышло 9см

и провели две окружности с радиусом 4 и 3 см 4 +3 = 7 см

Вывод : они не пересекаются

Answer 2

Problem Analysis

We are given two points, M and K, and we need to determine if two circles with radii of 4 cm (centered at M) and 3 cm (centered at K) intersect each other.

Solution

To determine if the circles intersect, we need to find the distance between the centers of the circles (M and K) and compare it to the sum of their radii.

Let's calculate the distance between M and K using the distance formula:

Distance Formula: The distance between two points (x1, y1) and (x2, y2) is given by the formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of M and K are not provided, so we cannot calculate the exact distance. However, we are given that MK = 9 cm.

Let's assume that the distance between M and K is 9 cm.

Now, let's calculate the sum of the radii of the two circles:

Sum of Radii = 4 cm + 3 cm = 7 cm

If the distance between M and K is less than the sum of the radii (9 cm < 7 cm), then the circles intersect. Otherwise, they do not intersect.

Since the distance between M and K (9 cm) is greater than the sum of the radii (7 cm), the circles do not intersect.

Conclusion

The two circles with radii of 4 cm (centered at M) and 3 cm (centered at K) do not intersect.

Please note that the exact coordinates of M and K were not provided, so the calculations were based on the assumption that MK = 9 cm.