Question

what is relation between degree and radian ?​

Answer 1

Hey buddy,

Here's your answer ⤵️⤵️⤵️

Relation between degrees and radian :  

Consider a circle with center 'O' and radius 'r'. Let A and P be any point on the circle such that arc AP = r. Let the ∠AOP= 1 radian.

From the diagram we can see that , ∠AOB = 2 right angles = 1800

As we know that angle subtending at the center of the circle is proportional to the arc subtended in it .

∴ ∠AOP∠AOB=arcAParcAPB

⇒ ∠AOP180=rπr

⇒ ∠AOP=180π

⇒ 1c=1800π

Remark 1 : When an angle is expressed in radians, the word radian is generally omitted.

Remark 2 : 1800=π radians ⇒ 10=π180

Remark 3 : 1800=π radians  

∴ 10=π180 radian = (227×180) radian = 0.01746 radians

Remark 4 : π radians=1800  

∴ 1 radian = 180π=(18022×7)0 = 57016'22"

Hope it helps ☺️  

-Shruthi ❤️

Answer 2

Step-by-step explanation:

one radian is 180/π degrees

180 degree is π radians

3 radians is 60 degrees