Question

the area of circle is 616cmsquare.there is 2m wide road on its edge . what will be the area of that road?​

Answer 1

Answer:

area of road is 188.57 sq.cm

Step-by-step explanation:

hope it will help you

Answer 2

$\huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

$\tt Given \begin{cases} \sf{Area \: of \: circle \: is \: 616 cm^2} \\ \sf{Road \: is \: 2 \: m \: wide}\end{cases}$

_____________________________

To Find :

The area of road

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Solution :

$\begin{center}\setlength{\unitlength}{1.3 pt}\begin{picture}(100,100)(0,0)\put(0,0){\circle{50}} \put(0,0){\circle{22}} \put(0,0){\circle*{1.5}}\put(-16,0){\line(1,0){31.5}}\put(10,1.5){ 2 }\put(-8,1.5){ 14 }\put(-15,1.5){ 2 }\end{picture}\setlength{\unitlength}{1 pt}\end{center}$

$\Large \star {\underline{\boxed{\sf{Area \: of \: bigger \: circle = \pi r^2}}}}$

616 = 22/7 * (r)²

616 * (7/22) = (r)²

196 = r²

r = 14 cm

$\Large \star {\underline{\boxed{\sf{Radius = 14 \: cm}}}}$

$\rule{200}{2}$

Radius of bigger circle = 14 + 2 = 16 cm

$\Large \star {\underline{\boxed{\sf{Area \: of \: smaller \: circle = \pi R^2}}}}$

Area = 22/7 * (16)²

Area = 22/7 * (256)

Area = 804.57 cm²

$\Large \star {\underline{\boxed{\sf{Area \: of \: bigger \: circle = 804.57 \: cm^2}}}}$

$\rule{200}{2}$

Now,

Area of road = Area of bigger circle - Area of smaller circle

Area of road = 804.57 - 616

Area of road = 188.57 cm²

$\Large \star {\underline{\boxed{\sf{Area \: of \: road = 188.57 \: cm^2}}}}$

$\rule{200}{2}$

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