The circumference of a circular ground is 220 | vedclass

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Question

Taking radius of the circular ground to be $r_{1}$ and the radius of the circular ground with road to be $r_{2}$ the circumference of the ground

Vedclass · Accepted Answer

$7$

Vedclass · Answer

Taking radius of the circular ground to be $r_{1}$ and the radius of the circular ground with road to be $r_{2}$ the circumference of the ground $=2 \pi r_{1}$ and the circumference of the ground with road $=2 \pi r_{2}$ and the width of the road $=r_{2}-r_{1}$

$	herefore$ The circumference of the ground with road The circumference of the ground

$=2 \pi r_{2}-2 \pi r_{1}$

$	herefore 264-220=2 \pi\left(r_{2}-r_{1}ight)$

$	herefore 44=2 	imes \frac{22}{7}\left(r_{2}-r_{1}ight)$

$	herefore \frac{44 	imes 7}{2 	imes 22}=r_{2}-r_{1}$

$	herefore r_{2}-r_{1}=7$

Thus, the width of the road is $7\, m$.

The circumference of a circular ground is $220\, m .$ Outside it, runs a road of equal width. If the circumference of the ground with the road is $264\, m$, find the width of the road. (in $m$)

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