English, asked by naren196, 1 year ago

a road which is 7 metre wide surrounds a circular Park whose circumference is 352 M find the area of the road

Answers

Answered by AvinashChauhan
11
ye lo Bhai apna answer okkkkkkkkk
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naren196: nei
Answered by Anonymous
25

GIVEN:-

 \\

Width of the road=7m

Circumference of circular park=352 m

 \\

TO FIND OUT:-

 \bf \:• Area  \: of \: the \: road=? \\

SOLUTION:-

 \bf \:

 {\bf •Let  \: the \: radius \: of \: the \: park \: be \: }r  \bf \:  m \\

 \bf \: •Then  \: its \: circumference =2 \pi  r \\

 \therefore \bf \: 2 \pi r=352 \\

 \bf \implies \: 2 \times  \frac{22}{7}  \times r = 352 \\  \\

 \bf \implies \: r =  \huge( \small352 \times  \frac{7}{44}   \huge)  \small \:  = 56 \\  \\

 \bf •Thus , \: inner  \: radius=56m \\  \\

 \bf \to \: outer \: radius = (56 + 7)m = 63m \\  \\

 \bf Area  \: of \: road= \pi \: [(63)²-(56)²]m² \\  \\

 \bf \:  \:  \:  \:  \:  \:  =  \frac{22}{7}  \times (63 + 56)(63 - 56)m {}^{2}  \\  \\

 \bf \:  \:  \:  \:  \:  \implies \huge( \small \frac{22}{7}  \times 119 \times 7 \huge) \small \: m {}^{2}  = 2618m {}^{2}

 \boxed{\boxed {\bf  \therefore \: Required  \: area \: of \: road=2618m {}^{2} }}

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