   # If R is the radius of the quarter-circle on the left and r is the radius of the circle on the right, what is R/r

51 views

In each square, the blue and red areas are equal. If R is the radius of the quarter-circle on the left and r is the radius of the circle on the right, what is R/r posted May 3

Ans : 1
Both are have a same radius answer May 8

2

If you complete the first circle it will cover 4 squares, in other words its area will be 4 times of the smaller one, thus R^2=4*r^2 ----> R/r=2 answer May 9

Similar Puzzles
+1 vote

The blue figure is made of five quarter-circle arcs (each with integer radius) and a segment of length 4, which is the base of a square grid. What is the area of the blue figure?

+1 vote

ABCD is a square with side length R. Find the radius of the red circle in terms of R? +1 vote

Three differently sized circles and a line can be positioned so that they are all mutually tangent to one another, as shown below. If the largest circle has radius 225 and the medium circle has radius 100, what is the radius of the smallest circle?   