Question

Куля з центром у точці о дотикається до площини а в точці А відстань від точки Б що лежить в площині а до точки А дорівнює 2см, а до точки О 2,2 см, знайдіть R кулі

Answer 1

Розв'язання завдання додаю

Answer 2

Calculation of the Radius of the Sphere

To find the radius of the sphere, we need to use the given information about the distances between points.

Let's break down the problem step by step:

1. We have a sphere with its center at point O. 2. The sphere touches a plane at point A. 3. There is another point B in the plane, and the distance from B to A is 2 cm. 4. The distance from B to O is 2.2 cm.

To find the radius of the sphere, we can use the Pythagorean theorem. According to the theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we can consider triangle ABO, where AB is the hypotenuse, AO is one side, and BO is the other side.

Let's denote the radius of the sphere as R.

Using the Pythagorean theorem, we can write the equation:

AB^2 = AO^2 + BO^2

Substituting the given values:

2^2 = R^2 + 2.2^2

Simplifying the equation:

4 = R^2 + 4.84

R^2 = 4 - 4.84

R^2 = -0.84

Since the square of a real number cannot be negative, it means that there is no real solution for the radius of the sphere in this case.

Therefore, the given information does not allow us to determine the radius of the sphere.

Please let me know if there is anything else I can help you with!