One medium circle and one small circle touch each other,and each Circle touches the large Circle
To visualize the situation described, imagine three circles of different sizes: a large circle, a medium circle, and a small circle. The medium circle and small circle touch each other, meaning they are just barely in contact at a single point. Additionally, both circles touch the large circle.
To understand how the circles are positioned, we need to consider the concept of tangency. Tangency occurs when two curves meet at a single point, without crossing or intersecting. In this case, the medium and small circles are tangent to each other.
To find the relationship between the circles, we can analyze their positions and sizes relative to one another. Let's consider some possibilities:
1. The small circle is inside the medium circle:
- In this case, the small circle can be positioned anywhere within the medium circle, as long as they touch each other. Then, both circles touch the large circle from the inside.
2. The medium circle is inside the small circle:
- Similar to the previous situation, the medium circle can be positioned anywhere within the small circle, ensuring that they touch. Again, both circles will touch the large circle from the inside.
3. The small and medium circles are externally tangent:
- In this scenario, the small and medium circles share a single point of contact but are not within each other. They are positioned externally to each other. Both the small and medium circles will touch the large circle from the outside.
In each case, the key factor is that both the medium and small circles touch the large circle. The specific positions and sizes of the circles will determine whether they are tangent internally or externally.
To determine the precise measurements or coordinates of the circles, additional information would be necessary, such as the radius of the large circle or the positions of the centers of the circles.