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The diameters of two circular coins are in the ratio of 1 : 3. The smaller coin is made to roll around the bigger coin till it returns to the position from, where the process of rolling started. How many times the smaller coin rolled around the bigger coin ?

The diameters of two circular coins are in the ratio of 1 : 3. The smaller coin is made to roll around the bigger coin till it returns to the position from, where the process of rolling started. How many times the smaller coin rolled around the bigger coin ? Correct Answer 3

Given:

The diameters of two circular coins are in the ratio of 1 : 3.

Formula used:

Perimeter of circle = 2 π r

Calculation:

According to the question,

Radius of bigger coin = 3/2 and Radius of smaller = 1/2

Circumference of bigger coin = Circumference of smaller coin

⇒ 2 π r = 2 π r

⇒ 2 π (3/2) = 2 π (1/2)

⇒ 3 : 1

Then 

∴ The smaller coin will roll 3 times around the bigger coin.

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