Question

Две окружности с диаметром 24см и 10см имеют внутреннее касание.Найдите расстояние между центрами этих окружностей.(Ответы:7см,17см,14см и 10см)Помогите)Заранее огромное спасибо!

Answer 1

так как они имеют внутренее касание то растояние равно Rбольшей - Rменьшей = 24-10=14

Answer 2

Calculation of the distance between the centers of the circles

To find the distance between the centers of the two circles, we can use the fact that the distance between the centers of two tangent circles is equal to the sum of their radii.

Let's denote the radius of the larger circle as R (which is half of its diameter, 24 cm) and the radius of the smaller circle as r (which is half of its diameter, 10 cm).

The distance between the centers of the circles, which we need to find, can be represented as:

Distance = R + r

Substituting the given values, we have:

Distance = 24 cm/2 + 10 cm/2

Simplifying the expression, we get:

Distance = 12 cm + 5 cm

Therefore, the distance between the centers of the two circles is:

Distance = 17 cm

So, the correct answer is 17 cm.

Please let me know if you need any further assistance!