Question

a circular carpet of diameter 2.8 M is spotted in the centre with a 20cm striped boarder. find the area of the striped portion of the carpet to the nearest cm square



please solve this problem

Answer 1

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A CIRCULAR CARPET OF DIAMETER :

=> 2.8 M

=> 2.8 * 100 CM

=> 280 CM

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RADIUS :

=> DIAMETER / 2

=> 280 / 2

=> 140 CM

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THE WIDTH OF THE STRIP :

=> 20CM

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TO FIND :

=> THE PORTION ( AREA ) OF THE STRIP :

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TOTAL AREA OF THAT CARPET = AREA OF CIRCLE

=> AREA OF CARPET :

=> $\pi {r}^{2} \\ \\ \frac{22}{7} \times {140 \: cm}^{2} \\ \\ \frac{22}{7} \times 140 \times 140 \\ \\ 22 \times 20 \times 140 \\ \\ 440 \times 140 \\ \\ 61600 \: \: {cm}^{2}$

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=> RADIUS OF CARPET WITHOUT STRIP :

=> 140 - 20 CM

=> 120 CM

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AREA OF THAT SMALLER CIRCULAR CARPET :

$\pi \times {r}^{2} \\ \\ \frac{22}{7} \times {120}^{2} \\ \\ \frac{22}{7} \times 120 \times 120 \\ \\ 45,257.14 \: {cm}^{2}$

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AREA OF STRIP :

=> AREA OF CARPET - AREA OF SMALLER CIRCULAR CARPET :

$61600 \: {cm}^{2} - 45,257.14 \: \: {cm}^{2} \\ \\ 16342.86 \: {cm}^{2}$



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SO,

AREA OF STRIP :

=> $16342.86 \: {cm}^{2}$

MEANS UPTO THE NEAREST INTEGER

=> $16343 \: {cm}^{2}$

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THANKS .....

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Answer 2

Answer:

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