Math, asked by OoINTROVERToO, 17 days ago

 \huge\blue {\underline { \overline{ \bf  \mid\:  \:  \:  \: \: QUESTION  \: \:  \: \:  \mid}}}



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​. ​

Answers

Answered by Anonymous
0

Diameter =84 m, Radius =42 m

Outer radius =42+3.5 m =45.5 m

Outer area from center = πR

2

=3.14×(45.5)

2

=6500.58m

2

Inner area = πr

2

=3.14×42×42

=5538.96m

2

Area of round = (6500.58−5538.96)m

2

=961.62m

2

Cost of construction = Rs. 2.40perm

2

∴ cost of construction = Rs. 2.40×961.62

=Rs.2307.88.

please mark my ans as brainliest please

Answered by BrainlyPARCHO
1

 \large \green{  \fcolorbox{gray}{black}{ ☑ \:  \textbf{Verified \: answer}}}

 \bf { \pmb{ \red{ \underline{ GIVEN }}}}\\ \small \cal Radius  \: of \:  Circular \:  Garden = 84 \:  m \\ \cal \small 7  \: m \:  wide  \: road  \: along \:  g arden \:  Circumference \\  \\ \bf{ \pmb{ \red{  \underline{TO  \:  \: FIND}}}} \\  \tt \: Area \:  of  \: the  \: Road \\  \\  \bf{ \pmb{ \red{ \underline{FORMULA  \:  \: USED}}}} \\ \rm \boxed{ \blue{ Area \:  of  \: Circle = πr²} }\\  \\  \bf{ \pmb{ \red{   \: CALCULATION }}}\\ \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}}   \\  \orange{ \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{ \red{  \underline{ \ddag  \: \: Final \:  Answer \:   \: \ddag}}}}  \\  \boxed{\green{ \tt{ \pmb {The  \: required  \: area \:  of \: the  \: road  \: is \:  3542  \: m²}}}}

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