Question

The number of circles that can be made if we add a yellow border outside the red border which has a perimeter of 31.4 inches as shown below will be .

• A. only 1
• B. hundred
• C. zero
• D. Infintely many

Answer 1

The correct option is D Infintely many

Let the perimeter of the circles outside the red border be x.

Since the perimeter of the yellow border has to be greater than 31.4 inches, so, we can say x > 31.4

Here, there is no limit regarding the perimeter of the yellow border.

We can have any number of such borders if we keep increasing the size.

Hence, there are infinitely many number of circles that can be drawn outside the red border.