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If a planet subtends an angle α at distance D, what formula is used to find the planet's diameter?

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Question

If a planet subtends an angle α at distance D, what formula is used to find the planet's diameter?

Options

  • Diameter = D/2

  • Diameter = α × D

  • Diameter = α + D

  • Diameter = D²/α

MCQ
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Solution

Diameter = α × D

Explanation:

Derived from the small-angle approximation, where diameter is analogous to the arc length (arc length = angle × radius).

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