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°

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. SAT Math Resources (Videos, Concepts, Worksheets and More)

    Nov 23, 24 10:01 AM

    SAT Math Resources (Videos, Concepts, Worksheets and More)

    Read More

  2. Digital SAT Math Problems and Solutions (Part - 76)

    Nov 23, 24 09:45 AM

    digitalsatmath63.png
    Digital SAT Math Problems and Solutions (Part - 76)

    Read More

  3. Digital SAT Math Problems and Solutions (Part - 75)

    Nov 21, 24 06:13 AM

    digitalsatmath62.png
    Digital SAT Math Problems and Solutions (Part - 75)

    Read More