Question

Example 2.1 Calculate the angle of
la) 19 (degree) (b) 1' (minute of arc or arcmin)
and (c) 1"[second of arc or arc second) in
radians. Use 360º=2 rad, 1960' and
60​

Answer 1

, is a unit of angular measurement equal to 160 of one degree. Since one degree is 1360 of a turn (or complete rotation), one minute of arc is 121600 of a turn. ... A minute of arc is π10800 of a radian.

Answer 2

Answer:

calculate the angle of (a) 1 degree (b) 1 minute (c) 1 second in radians.use 360 degree=2 pai rad, 1 degree= 60 minute and 1minute=60 second.

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1

hunto

15.06.2018

Physics

Secondary School

answered

calculate the angle of (a) 1 degree (b) 1 minute (c) 1 second in radians.use 360 degree=2 pai rad, 1 degree= 60 minute and 1minute=60 second

Answer:

We know that,

360° = 2π radians

Hence, 1° = 2 π/ 360 → (1)

10° = [2 π/ 360° ] x 10 = π/ 18 radians

60 minutes = 1°

Substituting (1),

60 minutes = 2 π/ 360

One minute = 2 π/ (360 x 60)

One minute = π/ 10800 radians → (2)

One second

60 seconds = 1 minute

Substitute (2),

60 seconds = π/ 10800 radians

One second = π/ (10800 x 60) radians

One second = π/ 648000 radians

Explanation:

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