Question

Prove that I radian=57.3°​

Answer 1

Happy new year.

Answer:  

let us consider a circle with radii AB of lenght R.

AB=R

AC=R

1 radian means the angle subtended when the lenght of the arc is equal to the lenght of the radii.

Let us connect B and C by a line and then

180 degrees is $\pi$ radians

so,$3.14159265^c =180^o$

     $1^c =\frac{180}{ 3.14159265} ^o$

         $=57.2977^o$

         $=57.3$  (rounding by hundreth)

Hence, I radian=57.3°​

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Answer 2

Answer:

Happy new year.

Answer:  

let us consider a circle with radii AB of lenght R.

AB=R

AC=R

1 radian means the angle subtended when the lenght of the arc is equal to the lenght of the radii.

Let us connect B and C by a line and then

180 degrees is  radians

so,

     

         

          (rounding by hundreth)

Hence, I radian=57.3°​

Explanation:

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