InterviewSolution
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If a circle circumscribes a rectangle with side 4 cm and 3 cm, then find the difference between the area of the circle and rectangle?1). 19.625 cm22). 12.625 cm23). 7.625 cm24). 10.625 cm2 |
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Answer» Solution: Given : A circle circumscribes a rectangle with, Length 'l' = 4 cm and BREADTH 'B' = 3 cm. To find : Difference between the area of the circle and rectangle. Area of rectangle = Length × Breadth = 4 × 3 = 12 cm² To find the area of the circle we have to find the diagonal of the rectangle which gives US the diameter of the circle. To find the diagonal we have to use Pythagoras Theorem. Diagonal (d) = √( l² + b² ) d= √( 4² + 3² ) d= √( 16 + 9 ) d = √( 25 ) d = 5 cm We KNOW that,diagonal of rectangle = diameter of circle Diameter (D) = 5cm Radius (r) = 5/2 = 2.5 cm Area of the circle = πr² cm² Area of the circle = 3.14 × 2.5 × 2.5 cm² Area of the circle = 19.625 cm² Difference between the two areas = (19.625 - 12)cm² = 7.625 cm² So, the correct option is 3). 7.625 cm² |
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