Question

calculate the angle of 1° in radians. Don't copy from somewhere otherwise I will report your answer​

Answer 1

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

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