HOW TO CONVERT DEGREES TO RADIANS IN TERMS OF PI

Example 1 :

Convert 25° into radian measure. 

Solution :

Formula to convert degree measure to radian measure is

=  (π/180°) x degree measure

=  (π/180°) x 25°

=  5π/36 radians

Example 2 :

Convert 240° into radian measure 

Solution :

Formula to convert degree measure to radian measure is

=  (π/180°) x degree measure

=  (π/180°) x 240°

=  4π/3 radians

Example 3 :

Convert 520° into radian measure.

Solution :

Formula to convert degree measure to radian measure is

=  (π/180°) x degree measure

=  (π/180°) x 520°

=  26π/9 radians 

Example 4 :

Convert 40° 20' to radian measure.

Solution :

To convert 40° 20' to radian measure, first we have to convert 20' to degree. 

To convert 20' to degree, we have to divide it by 60.

20'  =  (20/60)°

20'  =  (1/3)°

Then,

40° 20'  =  (40 + 1/3)°

40° 20'  =  (121/3)°

Formula to convert degree measure to radian measure is

=  (π/180°) x degree measure

=  (π/180°) x (121/3)°

=  (121π/540) radians

Example 5 :

Convert -47° 30' into radian measure 

Solution :

To convert -47° 30' to radian measure, first we have to convert 30' to degree. 

To convert 30' to degree, we have to divide it by 60.

30'  =  (30/60)°

30'  =  (1/2)°

Then,

-47° 30'  =  -(47 + 1/2)°

-47° 30'  =  (95/2)°

Formula to convert degree measure to radian measure is

=  (π/180°) x degree measure

=  (π/180°) x (95/2)°

=  19π/72 radians

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.