Psychology, asked by Anonymous, 5 months ago

The radius of a circular garden is 84m. inside it there is a 7 metre wide road along its circumference. find the area of this road.

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Answers

Answered by sanju2363
1

Explanation:

\huge\underline\textit\blue{Answer:-}

Radius of park = 84/2 = 42m

Area of road = π(45.5² - 42²)

= 962.5 m²

Cost = Area*Rate

= 962.5*200

= ₹ 192500

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Answered by OoINTROVERToO
10

 \huge \bf{ \pmb{ \color{black}{\underline{SOLUTION}}}} \\  \\ \bf { \pmb{ \gray{ \underline{ GIVEN }}}}\\ \small \cal Radius  \: of \:  Circular \:  Garden = 84 \:  m \\ \cal \small 7  \: m \:  wide  \: road  \: along \:  g arden \:  Circumference \\  \\ \bf{ \pmb{ \gray{  \underline{TO  \:  \: FIND}}}} \\  \tt \: Area \:  of  \: the  \: Road \\  \\  \bf{ \pmb{ \gray{ \underline{FORMULA  \:  \: USED}}}} \\ \rm \boxed{ \blue{ Area \:  of  \: Circle = πr²} }\\  \\  \bf{ \pmb{ \gray{  \overline{ \underline{ \mid \: CALCULATION \mid}}  }}}\\ \sf \scriptsize{ Total  \: Area \:  of  \: circular  \: garden =   \pi {(84)}^{2}}  \\ \scriptsize{  \sf \: Area \:  of  \: circular  \: garden  \: excluding  \: the \:  road = \pi {(84 - 7)}^{2}    =  \pi {(77)}^{2}}   \\  \red{ \sf \tiny{Area  \: of  \: Road = Total  \: Area \:  of  \: circular \:  garden - Area \:  of  \: circular \:  garden \:  excluding  \: the  \: road}  }\\ \\  \bf \: π (84)²  - π(77)² \\ \bf π[(84)²-(77)²] \\  \bf \: π[(84+77)(84-77)] \\ \bf \frac{22}{7} ×161×7 \\  \bf \: 3542 \\  \\ \large \bf { \pmb{ \gray{  \underline{ \ddag  \: \: Final \:  Answer \:   \: \ddag}}}}  \\  \boxed{\blue{ \tt{ \pmb {The  \: required  \: area \:  of \: the  \: road  \: is \:  3542  \: m²}}}}

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