2 circles have different radius touch at a point and at the point has 1 common tangent and another common tangent touching the circles at different points other than the first
w00t!
To better understand the situation, let's break it down step by step:
1. Two circles with different radii touch at a point: Visualize two circles, one larger and one smaller, with their centers close to each other. The larger circle has a greater radius, while the smaller circle has a smaller radius. At a specific point on the circumference of both circles, they touch each other.
2. Common tangent: A tangent is a line that touches a circle at only one point. Here, we have a common tangent that touches both circles at the point of contact where they touch each other. Imagine a straight line that touches the point of contact, forming a 90-degree angle with the radius of both circles at that point.
3. Another common tangent touching the circles at different points: In addition to the common tangent at the point of contact, there is another tangent that touches both circles at different points. Picture a second straight line that touches the larger circle at one point and the smaller circle at a different point.
Now, how can we find the answer to your question?
To determine the positions and angles formed by the two tangents, we need to know either the radii of the circles or the distances between their centers.
If you have the radii of the circles, let's call them R1 and R2, you can calculate the distances between the centers of the circles using the distance formula:
Distance between centers = sqrt((R1 + R2)^2 - (2 * R1 * R2))
Once you have the distance between the centers, you can draw the circles with the given radii. Place the center of the smaller circle at a distance equal to the smaller radius from the center of the larger circle. Then, draw the common tangent that touches both circles at the point of contact. Finally, draw the second tangent that touches the circles at different points.
If you have the distances between the centers, you can calculate the radii of the circles using the formula:
R1 = (Distance between centers + Diagonal length of the smaller circle) / 2
R2 = (Distance between centers - Diagonal length of the smaller circle) / 2
Once you have the radii, follow the same steps as mentioned above to draw the circles and tangents.
Remember, the specific locations and angles of the tangents will vary depending on the radii or distances between the centers of the circles.