Question

if the radius of a circle is increased by one unit , what is the ratio of the circumference to its diameter ?

Answer 1

Let the radius be x.
So d=2x,c=2×pi×x
If it increases by one unit
r=x+1
d=2x+2
c=2×pi×x+1
So the diameter will be 2 more than the real diameter......
And the Circumference will be 1 more than the real circumference.
Ratio=2x+2:2×pi×x+1
=2 (x+1):2×pi×x+1
=pi×x
Hope it helps you.....