1. A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area (in sq cm) of the circle?





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  • By: anil on 05 May 2019 02.09 am
    Length of AC = $$14sqrt{2}$$ cm Let side of square = $$x$$ cm = Diameter of circle In $$ riangle$$ ABC, => $$(AB)^2 + (BC)^2 = (AC)^2$$ => $$(x)^2 + (x)^2 = (14sqrt{2})^2$$ => $$2x^2 = 392$$ => $$x^2 = frac{392}{2} = 196$$ => $$x = sqrt{196} = 14$$ cm Thus radius of circle = $$frac{14}{2} = 7$$ cm $$ herefore$$ Area of circle = $$pi r^2$$ = $$frac{22}{7} imes (7)^2 = 22 imes 7 = 154 cm^2$$ => Ans - (C)
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