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Q.

The moon is about 384000 km from the earth and its path around the earth is nearly circular. Find the circumference of the path described by the moon in one complete revolution about the earth. (use π = 3.14)

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a

24,11,530 km

b

24,11,520 km

c

24,11,540 km

d

24,11,550 km 

answer is A.

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Detailed Solution

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Given:

The distance of the moon from the earth = 3,84,000 km

Since the Earth travels around the moon in a circular orbit.

So, we have a radius of the orbit (r) = 3,84,000 km

Now, the circumference length of the path =2πr

=2×3.14×384000 km  ...(Taking π=3.14)

=2×314×3840 km

=2411520 km

Hence, the moon travels 24,11,520 km in one complete revolution.

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