Question

If D and G are the number of degrees and number of grades of the same angle, then prove that G = D + D/9.

Answer 1

Step-by-step explanation:

The angle be  

C

radian,  

D

degreesor  

G

grades

As  

π

radian is equal to  

180

∘

and  

200

g

D

degrees is  

D

180

×

π

radians i.e.  

C

=

D

180

×

π

or  

D

π

=

180

C

and similarly  

G

grade is  

G

200

×

π

radians i.e.  

C

=

G

200

×

π

or  

G

π

=

200

C

Hence  

(

G

−

D

)

π

=

20

C