Math, asked by Anonymous, 3 months ago

a road is 7 m wide surrounds a circular path whose circumference is 352m. what is the area of the road?​

Answers

Answered by IIJustAWeebII
1

 \purple{ \underline{ \mathfrak{Answer \: in \: attachment}}}

 \green{ \underbrace{ \mathfrak{Hope \: this \: helps \: you! }}}

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Attachments:
Answered by OoINTROVERToO
1

 \bf{ \pmb{GIVEN:-}} \\  \sf \: Width  \: of  \: the  \: road=7m \\  \sf \: Circumference \:  of  \: circular  \: park=352 m \\ \\   \\  \pmb{ \bf{TO  \: FIND \:  OUT:-}} \\  \sf  Area \: of \: the \: road \\  \\  \\  \pmb{ \bf{SOLUTION:-}} \\{\sf Let \: the \: radius \: of \: the \: park \: be \: }r \sf \: m \\   \\  \bf \: Then \: its \: circumference =2 \pi r \\  \therefore \rm \: 2 \pi r=352 \\  \rm  \: 2 \times \frac{22}{7} \times r = 352 \\  \rm  \: r = \huge( \small352 \times \frac{7}{44} \huge) \small \: = 56 \\ \\   \sf Thus , \: inner \: radius=56m \\  \sf  \: outer \: radius = (56 + 7)m = 63m \\ \\  \\ \sf Area \: of \: road= \pi \: [(63)²-(56)²]m² \\ \\  \rm \frac{22}{7} \times (63 + 56)(63 - 56)m {}^{2} \\ \\ \rm \huge( \small \frac{22}{7} \times 119 \times 7 \huge) \small \: m {}^{2} = 2618m ^{2}  \\ \\ \boxed {\bf \therefore \: Required \: area \: of \: road=2618m {}^{2} }

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