1. Area of circle is equal to the area of a rectangle having perimeter of 50 cms. and length more than the breadth by 3 cms. What is the diameter of the circle?
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By: anil on 05 May 2019 01.14 am
Let the breadth of rectangle be $$x$$ cm => Length of rectangle = $$(x + 3)$$ cm Now, perimeter = $$2 (x + x + 3) = 50$$ => $$2x + 3 = 25$$ => $$x = frac{22}{2} = 11$$ Thus, breadth = 11 cm and length = 14 cm $$ecause$$ Area of circle = Area of rectangle => $$pi r^2 = 14 imes 11$$ => $$r^2 = frac{14 imes 11 imes 7}{22}$$ => $$r = sqrt{7 imes 7} = 7$$ cm $$ herefore$$ Diameter = 2 * 7 = 14 cm
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