Question

876. Отметьте две точки K и P так, чтобы КР = 6 см. Постройте окружность с центром К и радиусом 5 см и окружность с центром Р и радиусом 4 см. Пересекаются ли эти окружности?​

Answer 1

Ответ:

Пошаговое объяснение:

конечно пересекаются

6< 5+4

Answer 2

Problem Analysis

We are given two points, K and P, and we need to determine if the circles with centers at K and P, and radii of 5 cm and 4 cm respectively, intersect.

Solution

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

Let's calculate the distance between the centers of the circles, K and P.

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

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

In this case, the coordinates of K and P are not provided, so we cannot calculate the exact distance. However, we can make an estimation based on the given information.

Given that KR = 6 cm, we can assume that the distance between K and P is greater than 6 cm. Let's assume it is 7 cm for simplicity.

Now, let's compare the distance between K and P (7 cm) with the sum of the radii of the circles (5 cm + 4 cm = 9 cm).

If the distance between K and P is greater than the sum of the radii, the circles do not intersect. If the distance is less than or equal to the sum of the radii, the circles intersect.

In this case, 7 cm is less than 9 cm, so the circles with centers at K and P and radii of 5 cm and 4 cm respectively do intersect.

Conclusion

The circles with centers at K and P and radii of 5 cm and 4 cm respectively do intersect.