The moon is about 384000 km from the earth and its path around the ear...
Problem: Find the circumference of the path described by the moon in one complete revolution about the earth.
Solution:
Given:
- Distance between the moon and the earth = 384,000 km
- Path of the moon around the earth is nearly circular
Approach:
To find the circumference of the path described by the moon in one complete revolution around the earth, we need to calculate the circumference of the circle formed by the moon's orbit.
Formula:
The circumference of a circle is given by the formula: C = 2πr, where C is the circumference and r is the radius of the circle.
Calculations:
1. The distance between the moon and the earth represents the radius of the moon's orbit. Therefore, the radius (r) = 384,000 km.
2. Substitute the value of the radius into the formula for the circumference: C = 2π(384,000) km.
3. Simplify the expression: C = 2π(384,000) km = 2π(3.14)(384,000) km = 2(3.14)(384,000) km = 2(1,205,760) km.
4. Calculate the value: C ≈ 2,411,520 km.
Answer:
The circumference of the path described by the moon in one complete revolution around the earth is approximately 2,411,520 km.
Explanation:
The moon's orbit around the earth is nearly circular, so we can consider it as a circle. The distance between the moon and the earth gives us the radius of this circle. By using the formula for the circumference of a circle, we can determine the length of the path described by the moon in one complete revolution around the earth. In this case, the circumference is approximately 2,411,520 km.
The moon is about 384000 km from the earth and its path around the ear...
Circumference of path= 2 pie r = 2*3.14* 384000=
2411520 km
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