$4$ identical circles, each of radius $2 c m$ are drawn and then a few arcs are erased to obtain the design show here. What is the area of the design .

3.44 c m^{2}

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4 π^{2} c m^{2}

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16 c m^{2}

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8 c m^{2}

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Solution

The correct option is A $3.44 c m^{2}$
$A r e a o f d e s i g n = a r e a o f s q u a r e - a r e a o f 4 s e c t o r s$
$= {(4 c m)}^{2} - \frac{4 \times π \times 2^{2}}{4}$
$= 16 - 4 π$
$= (16 - 12.56) c m^{2}$
$a r e a o f d e s i g n = 3.44 c m^{2}$

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4 identical circles, each of radius 2 cm are drawn and then a few arcs are erased to obtain the design show here. What is the area of the design .

The correct option is A 3.44 cm2Areaofdesign=areaofsquare−areaof4sectors=(4cm)2−4×π×224=16−4π=(16−12.56)cm2areaofdesign=3.44cm2

$4$ identical circles, each of radius $2 c m$ are drawn and then a few arcs are erased to obtain the design show here. What is the area of the design .

The correct option is A $3.44 c m^{2}$
$A r e a o f d e s i g n = a r e a o f s q u a r e - a r e a o f 4 s e c t o r s$
$= {(4 c m)}^{2} - \frac{4 \times π \times 2^{2}}{4}$
$= 16 - 4 π$
$= (16 - 12.56) c m^{2}$
$a r e a o f d e s i g n = 3.44 c m^{2}$