Relation between radian and degrees

This presentation illustrates the relation between radian and degrees

1. Relation between radian and degrees by SBR www.harekrishnahub.com

2. www.harekrishnahub.com Consider a circle with centre O and radius r units. Let PQ be the diameter of the circle. Let A and B be any points on the circle, such that the length of the arc AB is equal to the radius r of the circle. Then the angle will be equal to 1 radian. (i.e., )  

3. www.harekrishnahub.com We have, length of the semi-circular arc and the length of the arc and (say) We know that in a circle, the arc lengths are proportional to the angles subtended by them at the centre. Therefore,     but  

4. www.harekrishnahub.com In practise, the subscript for radian is usually omitted. It is therefore, understood that        

5. www.harekrishnahub.com some examples: Degrees Radians 360 270 180 90 60 45 30 Degrees Radians 360 270 180 90 60 45 30