Question

the circumference of two circles is 88 metres and 220 M respectively what is the difference between array of larger circle and smaller circle

Answer 1

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Answer 2

$Let \: r \:and \: R \: are \: radii \: of \: two \\circles$

$i ) Circumference \: of \: small \:circle = 88 \:m$

$\implies 2\pi r = 88$

$\implies 2\times \frac{22}{7} r = 88$

$\implies r = \frac{ 88 \times 7 }{ 2 \times 22 }$

$\implies r = 14\:m$

$ii ) Circumference \: of \:Large \:circle = 220 \:m$

$\implies 2\pi R = 220$

$\implies 2\times \frac{22}{7} R = 220$

$\implies R = \frac{ 220 \times 7 }{ 2 \times 22 }$

$\implies R = 35\:m$

$iii) Difference \: of \: two \: areas \\= \pi R^{2} - \pi r^{2} \\=\pi ( R^{2} - r^{2} ) \\= \pi( R + r )( R - r ) \\=\frac{22}{7} ( 35+14 )( 35 - 14 ) \\= \frac{22}{7}\times 49 \times 28 \\= 22 \times 7 \times 28 \\= 4312 \: m^{2}$

Therefore.,

$\red{Difference \: of \: two \: areas }\\\green {= 4312 \: m^{2}}$

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