Question

Реши задачу. Длина экватора Земли приблизительно равна 40 076 км, что на 33 705 км больше среднего радиуса Земли *. Чему равен средний радиус Земли?

Answer 1

40076+33705=73 781 (км) радиус Земли

Ответ:73 781 км

Answer 2

40076+33705=73781 км радиус земли
Ответ 73781 км

Answer 3

Calculation of the Average Radius of the Earth

To find the average radius of the Earth, we can use the given information that the length of the Earth's equator is approximately 40,076 km, which is 33,705 km longer than the average radius of the Earth.

Let's denote the average radius of the Earth as r. According to the given information, we can set up the following equation:

Equator Length = 2 * π * r + 33,705 km

Simplifying the equation, we have:

40,076 km = 2 * π * r + 33,705 km

To solve for r, we need to isolate it on one side of the equation. Let's subtract 33,705 km from both sides:

40,076 km - 33,705 km = 2 * π * r

6,371 km = 2 * π * r

Now, divide both sides of the equation by 2π:

6,371 km / (2 * π) = r

Calculating this expression, we find:

r ≈ 1,013.5 km

Therefore, the average radius of the Earth is approximately 1,013.5 km.

Please note that the above calculation is based on the given information and assumes a perfect spherical shape for the Earth. The actual shape of the Earth is slightly irregular, so the average radius may vary slightly in different locations.