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The planet Neptune orbits the Sun. Its orbital radius is 30.1 astronomical units (AU). Assuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun? Give your answer in terms of pi. AU

The planet Neptune orbits the Sun. Its orbital radius is 3030.11 astronomical units (AU).\newlineAssuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun?\newlineGive your answer in terms of π \pi .\newline□\square AU

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Full solution

Q. The planet Neptune orbits the Sun. Its orbital radius is 3030.11 astronomical units (AU).\newlineAssuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun?\newlineGive your answer in terms of π \pi .\newline□\square AU
  1. Calculate Circumference: To find the distance Neptune travels, we need to calculate the circumference of its orbit, which is a circle.\newlineCircumference of a circle =2×π×radius= 2 \times \pi \times \text{radius}.
  2. Find Orbital Radius: Neptune's orbital radius is given as 30.130.1 AU.\newlineSo, the circumference (distance traveled in one orbit) = 2×π×30.12 \times \pi \times 30.1 AU.
  3. Perform Calculation: Now, let's do the calculation.\newlineCircumference = 2×π×30.1=60.2×π2 \times \pi \times 30.1 = 60.2 \times \pi AU.

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