Question

calculate the angle of 1°

Answer 1

Example 2.1    Calculate  the angle of

(a) 1

0

 (degree) (b) 1′ (minute of arc or arcmin)

and (c) 1″ (second of arc or arc second) in

radians. Use 360

0

=2π rad, 1

0

=60′ and

1′ = 60 ″

Answer 2

We know 3600 = 2π rad

=>  10 = (π/180) rad = 0.01745 rad

1/ = (1/60)0 = π/(60 × 180) = 0.00029 rad

1// = (1/3600)0 = π/(3600 × 180) = 0.0000048 rad