Bunuel wrote:
The two circles above have centers at A and B, and their circumferences are x and y respectively. If the two circles touch at one point, what is the distance between A and B?
A. \(2\pi x + 2\pi y\)
B. \(\frac{x+y}{2\pi}\)
C. \(\frac{\pi}{x+y}\)
D. \(\pi x + \pi y\)
E. \(\frac{x+y}{\pi}\)
Attachment:
2018-01-18_1414.png
The distance from A to B is the sum of the radii of Circles A and B.
We use the circumference formula C = 2πr. For circle A, we are given that the circumference is x, so we have:
x = 2πr
r =x/2π
Similarly, for Circle B, we solve for its radius:
y = 2πr
r = y/2π
The radius of circle A is x/2π, and the radius of circle B is y/2π, so the distance between A and B is:
x/2π + y/2π = (x + y)/2π
Answer: B
_________________
5-star rated online GMAT quant
self study course
See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews
If you find one of my posts helpful, please take a moment to click on the "Kudos" button.