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# The ratio of the radii of two wheel is 2:5. What is the ratio of their circumferences ?

**Given:** The ratio of the radii of two-wheel is 2:5

**To do: **Find the ratio of their circumference.

**Solution:**

Let the two radii be $r_1,r_2$

_{ }

$ r_1_{ }: r_2_{ } = 2 : 5$

Circumference of circle = 2πr

The ratio of their circumferences = $2πr_1 : 2πr_2$_{ }

_{
}

_{ } = $2π (2) : 2π (5)$ [ Substitute the ratios of radii in formula]

= 2 : 5 [2π and 2π gets cancelled, since they are same]

**So, the ratio of their circumferences = 2: 5**

** **
**
**

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