Question

Радиус 1 окружности 4 см расстояние между точками 6 см найдите радиус 2 окружности

Answer 1

6-4=2 но как я знаю радиус бывает одинаковый то тогда 2 радиус 4

Answer 2

To find the radius of the second circle, we can use the property of circles that states: "If two circles have their centers at a distance d and their radii are r1 and r2, then the distance between any two points on the circles is equal to the absolute difference of their radii."

Let's denote:

• r1: Radius of the first circle (given as 4 cm)
• r2: Radius of the second circle (unknown)
• d: Distance between the centers of the circles (given as 6 cm)

According to the property mentioned above, we have the following equation:

|r1 - r2| = d

Since the distance between the centers is 6 cm, we can write:

|r1 - r2| = 6

Now, we have two possible scenarios to consider:

1. If r1 > r2: In this case, the equation becomes: r1 - r2 = 6 Solving for r2: r2 = r1 - 6

2. If r2 > r1: In this case, the equation becomes: r2 - r1 = 6 Solving for r2: r2 = r1 + 6

However, we can also consider that the radii of circles cannot be negative (as radius is a non-negative value). So, the second scenario where r2 > r1 is not possible since it would lead to a negative value for r1. Therefore, we can conclude that r1 > r2.

Given that the radius of the first circle is 4 cm, we can use the formula for r2:

r2 = r1 - 6 r2 = 4 - 6 r2 = -2

As I mentioned earlier, it's not possible to have a negative radius for a circle. So, there might be an error in the information provided. Please recheck the values, or if there's any other context or additional information, let me know so I can assist you further.