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

(ii) 135° :

135° = 135° x (π/180°) radians

(iii) -205° :

-205° = -205° x (π/180°) radians

(iii) 150° :

(v) 330° :

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/(iii) 2π/(iv) 7π/(v) 10π/9 (i) π/3

Solution :

(i) π/3 :

π/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/= 7π/3 x (180°/π)

= 420°

(v) 10π/9 :

10π/9 = 10π/9 x (180°/π)

= 200° Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

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