We know that.
(i) Angle in degrees = 5π/ 12 x 180/π = 75
(ii) Angle in degrees = -18π/5 x 180/π = -648
(iii) Angle in degrees = 5/6 x 180/π = 47.7272°
Write Angle in degrees, minutes and second:
We know,
The angle in minutes = Decimal of angle in radian x 60’
The angle in seconds = Decimal of angle in minutes x 60’’
Therefore, 0.7272° = 0.7272 x 60′ = 43.632′
Angle in seconds = 0.632 x 60” = 37.92” or 38”
Final angle = 47° 43′ 38”
(iv) Angle in degrees = -4 x 180/π = = -229.0909°
Write Angle in minutes:
We know,
The angle in minutes = Decimal of angle in radian x 60’
The angle in seconds = Decimal of angle in minutes x 60’’
Therefore, 0.0909° = 0.0909 x 60′ = 5.4545′
Angle in seconds = 0.4545 x 60” = 27.27”
Final angle = -(229° 5′ 27”)