We know, Angle in radians = Angle in degrees x π/180°
(i) 36°
Angle in radians = 36° x π/180°
= π/5
(ii) 120°
Angle in radians = 120° x π/180°
= 2π/3
(iii) 225°
Angle in radians = 225° x π/180°
= 5π/4
(iv) 330°
Angle in radians = 330° x π/180°
= 11π/6
(v) 400°
Angle in radians = 400° x π/180°
= 20π/9
(vi) 7° 30’
Convert 30′ into degrees = (angle in minutes)/60 = (30/60) degrees = 0.5 degrees
Total angle = (7 + 0.5) degrees = 7.5 degrees or 7.5°
Angle in radians = 7.5° x π/180°
= π/24
(vii) -270°
Angle in radians = -270° x π/180°
= -3π/2
(viii) –(22° 30’)
Convert 30′ into degrees = (angle in minutes)/60 = (30/60) degrees = 0.5 degrees
Total angle = (22 + 0.5) degrees = 22.5 degrees or 22.5°
Angle in radians = -22.5° x π/180°
= -π/8