# 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

43 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

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

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

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?

If you knew that the radius of the big circle and the big arcs is 5 cm, what is the area of the yellow region?

+1 vote

If AF=1 and AB=AC=7 in the given image then what would be the radius of grey circle?