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A child prepares a poster on ‘Save Energy’ on a square sheet whose each side measures 60 cm. At each corner of the sheet, she draws a quadrant of radius17.5 cm in which she shows the ways to save energy. At the center, she draws a circle of diameter 21 cm and writes a slogan in it. Find the area of the remaining sheet.

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2381 c m^{2}

2291 c m^{2}

2491 c m^{2}

2581 c m^{2}

answer is B.

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Detailed Solution

Area of remaining sheet = Area of square - 4 \times Area of quadrant - Area of circle

= sid e^{2} - 4 \times \frac{π r^{2}}{4} - π r^{2}

= 60^{2} - \frac{22}{7} \times {17.5}^{2} - \frac{22}{7} \times {(\frac{21}{2})}^{2}

= 3600 - 962.5 - 346.5

= 2291 {cm}^{2}

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