The radius of a spherical planet is 37800 mi. Find the circumference of this planet.Round your answer to the nearest whole number. Do not type the units in the space below.
Question
The radius of a spherical planet is 37800 mi. Find the circumference of this planet.Round your answer to the nearest whole number. Do not type the units in the space below.
Solution
To find the circumference of a sphere (or planet in this case), we use the formula:
C = 2πr
where: C is the circumference, r is the radius, and π is a constant approximately equal to 3.14159.
Given that the radius of the planet is 37800 miles, we substitute this value into the formula:
C = 2π(37800)
Calculating this gives:
C = 237600π
To get the numerical value, we multiply 237600 by π (3.14159):
C = 747126.72 miles
Rounding this to the nearest whole number gives:
C = 747127 miles
So, the circumference of the planet is approximately 747127 miles.
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