The diameter of the circle centered at point A is 6cm. The distance between points A and you is 5cm. Point D

The diameter of the circle centered at point A is 6cm. The distance between points A and you is 5cm. Point D is the common point of these circles centered at point B. How are these two circles located relative to each other?

d env. centered at point A – 6 cm;

AB = 5 cm;

D – commonly. t. both env .;

d env. centered at t.V. -? cm.

Radius of env. centered at point A is equal to r = d: 2 = 6: 2 = 3 (cm).

Because it is said that point D is common to both circles, which means they touch each other at this point.

Those. T. D lies on the env. centered at point A, then AD = 3 cm.

But since T. D also belongs to the env. centered at point B, then:

BD = 5 – AD = 5 – 3 = 2 (cm);

Those. radius of env. centered at point B is equal to r = 2 cm, so d = 2 * r = 2 * 2 = 4 (cm).

Answer: the circles touch each other at point D; the diameter of the circle centered at point B is 4cm.