Question

Calculate the angle of (a) 1° (b) 1' and (c) 1" in radian.​

Answer 1

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:

Answer 2

Answer:

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