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?
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
$$\because$$ Area of circle = Area of rectangle
=> $$\pi r^2 = 14 \times 11$$
=> $$r^2 = \frac{14 \times 11 \times 7}{22}$$
=> $$r = \sqrt{7 \times 7} = 7$$ cm
$$\therefore$$ Diameter = 2 * 7 = 14 cm
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