You are given a circle's quadrant and you are supposed to calculate the ratio of its circumference and the whole circle's circumference.
Which one of these is right: (A): 1 over 4 (B): 4+Pi over 4*Pi (C): 4+Pi over 2*Pi (D): 4*Pi over 4+Pi (E): 3 over four
I think it's B. Is that correct?
The circumference of a circle is $2\pi r$.
A quadrant has $\frac 14$ of that or $1/2\pi r$ as an arc plus two radii as legs. So the perimeter of a quadrant is \frac 14 \pi 4 + 2r$.
So the ratio is $1/2 \pi r + 2r : 2\pi r$ /~/ $\pi + 4: 4\pi$
which is B).