The answer selected is the correct answer because all of the other ones are equivalent to each other.
The formula for a circle's area is
. We are given an area of 38.465 square inches for a quarter of it.
Multiply this value by 4 to compensate for the quarter circle.


Divide both sides by pi (Note: I'm using the conventional value of 3.14)

Take the positive square root of both sides

The radius is 7 inches. Let me know if you have any questions, thanks!
4/7 and 10/17.5
18/8 and 9/4
Proportions
2/3 and 9/12
3/8 and 6/141
7/5 and 27/20
Not a proportion