Question

the radius of a circular cricket ground is 60 cm. around the ground a 7m circular gallery is to be but for spectators. what will be its area?​

Answer 1

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

$\tt Given \begin{cases} \sf{Radius \: \: of \: circle \: is \: 60 \: cm} \\ \sf{Gallery \: is \: 7 \: m \: wide}\end{cases}$

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To Find :

The area of gallery for Spectator's

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Solution :

$\begin{center}\setlength{\unitlength}{1.3pt}\begin{picture}(100,100)(0,0)\put(0,0){\circle{50}} \put(0,0){\circle{22}} \put(0,0){\circle*{1.5}}\put(-16,0){\line(1,0){31.5}}\put(10,1.5){ 7 }\put(-8,1.5){ 60 }\put(-15,1.5){ 7 }\end{picture}\setlength{\unitlength}{1 pt}\end{center}$

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

Radius of bigger circle = 60 + 7 = 67 cm

Area = 22/7 * (67)²

Area = 22/7 * (4489)

Area = 14108.28 cm²

$\Large \star {\underline{\boxed{\sf{Area \: of \: bigger \: circle = 14108.28 \: cm^2}}}}$

$\rule{200}{2}$

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

Area = 22/7 * (60)²

Area = 22/7 * (3600)

Area = 11314.28 cm²

$\Large \star {\underline{\boxed{\sf{Area \: of \: smaller \: circle = 11314.28 \: cm^2}}}}$

$\rule{200}{2}$

Now,

Area of gallery = Area of bigger circle - Area of smaller circle

Area of gallery = 14108.28 - 11314.28

Area of gallery = 2794 cm²

$\Large \star {\underline{\boxed{\sf{Area \: of \: gallery = 2794 \: cm^2}}}}$

$\rule{200}{2}$

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