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In relation to the size of a galaxy, how do you convert arcminute into distance?

Answer 1

1 arc sec distance is 1 parsec = 206265 AU, nearly.
k arc minute distance = k X 60 parsec.

The distance of a deep-sky object is defined as 1 parsec if the arc that subtends this angle at the observer is 1 AU long. One arc sec is equal to 4.48136811 E-06 radian.

Use the circle formula R #theta# = arc length to understand this explanation. Here, #theta# is in radian measure. So, 1 parsec = #1 / (4.48136811 E-06)# AU.

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Answer 2

Layla Anderson

Using the small angle approximation formula, you can convert arcminutes to distance in the context of galaxies: Distance = (Size of Galaxy) * (Arcminute / 60), where: - Distance is the distance that corresponds to the given arcminute; - Size of Galaxy is the actual size of the galaxy; - Arcminute is the angular size of the galaxy in arcminutes; - 60 is the number of arcminutes in a degree.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.