CONVERTING DEGREES TO RADIANS AND RADIANS TO DEGREES

Degrees to Radians

To convert degrees to radians, multiply the given degree measure by π/180°.

Degrees ----> multiply by (π/180°) ----> Radians

Example :

Convert each of the following degree measures to radian measures. 

(i) 30° (ii) 135° (iii) -205° (iv) 150° (v) 330°

Solution :

(i) 30° :

30° = 30° x (π/180°) radians

   = π/6 radians

(ii) 135° :

135° = 135° x (π/180°) radians 

= 3π/4 radians

(iii) -205° :

-205° = -205° x (π/180°) radians

= -41π/36 radians

(iii) 150° :

150° = 150° x (π/180°) radians

= 5π/6 radians

(v) 330° :

330° = 330° x (π/180°) radians

   = (11π/6) radians

Radians to Degrees

To convert degrees to radians, multiply the given degree measure by 180°/π.

Radians ----> multiply by (180°/π) ----> Degrees

Example :

Convert each of the following radian measures to degree measures. 

(i) π/3 (ii) π/9 (iii) 2π/5 (iv) 7π/3 (v) 10π/9 (i) π/3

Solution :

(i) π/3 :

π/3 π/3 x (180°/π)

= 60°

(ii) π/9 :

π/9 π/9 x (180°/π)

= 20°

(iii) 2π/5 :

2π/5 = 2π/5 x (180°/π)

= 72°

(iv) 7π/3 :

70π/3 = 7π/3 x (180°/π)

= 420°

(v) 10π/9 :

10π/9 = 10π/9 x (180°/π)

= 200°

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