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The inner circumference of a circular track is $264\ m$ and the width of the track is $7\ m$. Find the length of the outer circumference.
Given: The inner circumference of a circular track is $264\ m$ and the width of the track is $7\ m$.
To do: To find the length of the outer circumference.
Solution:
Let $r$ be the radius of the inner track.
Inner circumference of track $=2πr=264\ m$ $( Given)$
$\Rightarrow 2×\frac{22}{7}×r=264$
$\Rightarrow r=264×\frac{7}{2×22}$
$\Rightarrow r=42\ m$
Width of track $( w)=7\ m$ $( Given)$
$\therefore$ Outer radius $( R)=r+w$
$=42+7=49\ m$
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