Question

if q and r denote respectively the degree measure and the radian measure of the same angle, prove that q/9=20r/π​

Answer 1

Answer:

20r/π = q/9

Step-by-step explanation:

Since we know that

1 Degree = π/180 radian

q degree = qπ/180 radian

Since we are given that

qπ/180 radian = r radian                        

So

r = qπ/180

Dividing by π on both sides we get

r/π = q/180

Multiplying by 20 on both sides we get

20r/π = 20q/180

By cancelling common factors on right hand side we get

20r/π = q/9  

Hence proved

20r/π = q/9