To convert the systems of measuring angles from one system to the other system.
1. Convert 63°14’51” into circular measure.
Solution:
63°14'51"
= 25299/(400 × 90) Right angle
= 2811/4000 Right angle
= (2811/4000) × (π/2) Radian, [As,1 right angle = π/2 Radian]
3. Convert 63°14'51" into centesimal measure.
Solution:
63°14'51"
= 63° + (14^{51}/_{60}) [Since, 1' = 60"]4. Convert 145°10'48" in right angles
Solution:
145°10'48"
= 145° + (10^{48}/_{60})' [Since, 60" = 1']= 145° + (54/5)'
= 145° + {54/(5 × 60)}° [Since, 60' = 1°]
= 145° + (9/50)°
= (7259/50)°
= 7259/(50 × 90) Right angles
= 1^{2759}/_{4500} Right angles● Measurement of Angles
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