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
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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