Number of Circles in a Circle

This is a simple online calculator to calculate the number of circles that could be drawn inside a larger circle. Imagine an 'Idly' plate, the cooking utensil to make the South Indian food Idly, which is the perfect example for this scenario. There will be a large outer circle and a number of inner circles. More technically it can be described as a symmetric ring of n circles in which adjacent circles are tangent and you could circumscribe a larger circle around the ring.

This is a simple online calculator to calculate the number of circles that could be drawn inside a larger circle. Imagine an 'Idly' plate, the cooking utensil to make the South Indian food Idly, which is the perfect example for this scenario. There will be a large outer circle and a number of inner circles. More technically it can be described as a symmetric ring of n circles in which adjacent circles are tangent and you could circumscribe a larger circle around the ring.

Code to add this calci to your website

Just copy and paste the below code to your webpage where you want to display this calculator.

Formula:

n = (π * R²) / ( 2 * r)² Where, r = Diameter of Inner Circle R = Diameter of Outer Circle n = Number of Circles in Inner Ring

This kind of inner circular ring arrangement is used in geometric designs. The diameter of the outer circle depends on the number and diameter of inner circles. Note that all the circles inside the ring have an even diameter. It can be stated that the number of inner circles depend on the diameter of the outer circle and inner circles.