Determine the maximum number of big circles(explained in description) that can fit inside the rectangle.

Question

You are given a rectangle of length a and width b . You are required to determine a circle that contains the maximum circumference that fits inside the rectangle. This type of circle is called a big circle. Your task is to determine the maximum number of big circles that can fit inside the rectangle. 

Answer 1

The circumference is 2πr, or πd, right?

The diameter can only be as long as the shorter sides of the rectangle. Let's say we have s 5" x 7" in rectangle; the diameter can be up to 5". Anything longer than that wouldn't fit.

Now, how many 5" lines fit into 7"? Just one, assuming we're not overlapping.

In other words, we can fit as many circles with a diameter of the shorter sides of the rectangle that will fit wholly into the longer sides.

5" x 10" would be 2 circles, but so would 5" x 11" up to 5" x 14".

Hope this helps!