star rating Rated 4.7/5 by parents and students (over 519,000 sessions now completed)
Check out our small group schedules here
Join over 17,832 students
Enrol Now
MENU hamburger menu
close menu


3 - 6


7 - 8


9 - 11


Radians to Degrees

Theory & Practice Questions.


Radian, a circle measure

One radian is the angle that an arc of 1 unit subtends at the centre of a circle of radius 1 unit.


Degrees to radians conversion:  1 degrees = π/180 radians


Radians and Degrees

π^c = 180° 

where π^c  = π  radians


Relationship between radian measure and degrees

Circumference of the circle with radius 1 unit is given by:

C = 2πr

= 2π(1)

= 2π


The arc length of the whole circle is .


There are radians in a whole circle.


But there are 360° in a whole circle (angle of revolution).

So 2π^c = 360°

π^c = 180°


Radians to Degrees

To change from radians to degrees: multiply by 180/π

Note: Special measure you will use regularly include -


Practice Question

  1. Convert 5π/6 radians into degrees.
  1. To convert radians into degrees:


5π/6 radians = 180/π° x 5π/6





Want a FREE question and answer worksheet?
To get free access to a practice question and answer worksheet for this topic in Mathematics, enter your details below

Get your personalised programme, pronto!

Enter a few details below

School Year