If D, G and R denote respectively the number of degrees, grades and radians in an angle, then
Question:

If DG and R denote respectively the number of degrees, grades and radians in an angle, then

(a) $\frac{D}{100}=\frac{G}{90}=\frac{2 R}{\pi}$

(b) $\frac{D}{90}=\frac{G}{100}=\frac{R}{\pi}$

(c) $\frac{D}{100}=\frac{G}{100}=\frac{2 R}{\pi}$

(d) $\frac{D}{90}=\frac{G}{100}=\frac{R}{2 \pi}$

Solution:

(c) $\frac{D}{100}=\frac{G}{100}=\frac{2 R}{\pi}$

It is the relation between degree, grade and radian.

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