The circumference of a circular ground is 220 | vedclass

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(C) Let the radius of the circular ground be $r_{1}$ and the radius of the circular ground including the road be $r_{2}$.Given,the circumference of th

Vedclass · Accepted Answer

$7$

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(C) Let the radius of the circular ground be $r_{1}$ and the radius of the circular ground including the road be $r_{2}$.Given,the circumference of the ground $= 2 \pi r_{1} = 220\, m$.Given,the circumference of the ground with the road $= 2 \pi r_{2} = 264\, m$.The width of the road is given by $w = r_{2} - r_{1}$.Subtracting the two circumferences:$2 \pi r_{2} - 2 \pi r_{1} = 264 - 220$$2 \pi (r_{2} - r_{1}) = 44$$2 	imes \frac{22}{7} 	imes w = 44$$w = \frac{44 	imes 7}{2 	imes 22}$$w = \frac{44 	imes 7}{44}$$w = 7\, m$.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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