Question

How many degrees are equivalent to one second of arc?

Answer 1

Answer:

0.0002778° are equivalent to one second of arc.

Explanation:

1 degree consists of 60 arc minutes.

1 arc minutes consists of 60 arc seconds.

It can also be written as:

1 minute of arc comprise of 1/60 degree.

1 second of arc comprise of 1/60 arc minutes.

So,

1 second of arc comprise of (1/60)*(1/60) degree.

Thus,

$1 second\ of\ arc=\frac{1}{60\times60}^0$

$1''=\frac{1}{3600}^0$

$1''= 0.0002778^0$

Thus,

0.0002778° are equivalent to one second of arc.