All the marbles

A circle containing eight touching circles. Circles of equal colour are congruent. What fraction of the total area is coloured?

Scroll down for a solution to this problem.


The coloured fraction is 155/196.

Solution by Amaresh G S.


Playing with marbles to win, that’s great
But nobody knows what the game is about
They play and laugh loud
They hope to win there is no doubt
Marbles orange, red and blue
Flick the smooth marble on the ground,
Any surface will do
Try with your right thumb,
you can win the game


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