Question

If G,D and C are grade, degree and radian of an angle respectively, prove that `(G-D)pi=20C` ?

Answer 1

Please see below.

Explanation:

The angle be `C` radian, `D` degreesor `G` grades

As `pi` radian is equal to `180^@` and `200^g`

`D` degrees is `D/180xxpi` radians i.e. `C=D/180xxpi` or `Dpi=180C`

and similarly `G` grade is `G/200xxpi` radians i.e. `C=G/200xxpi` or `Gpi=200C`

Hence `(G-D)pi=20C`