1. The diameter of a circle is equal to the diagonal of a square whose area is 784 m 2 . What is the area of the circle ? (In m 2 )






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  • By: anil on 05 May 2019 01.40 am
    Let side of square = $$a$$ m => Area of square = $$a^2 = 784$$ => $$a = sqrt{784} = 28$$ m => Diagonal of square = $$sqrt{28^2 + 28^2} = 28 sqrt{2}$$ m = Diameter of circle => Radius of circle = $$frac{28 sqrt{2}}{2} = 14 sqrt{2}$$ m $$ herefore$$ Area of circle = $$pi r^2$$ = $$frac{22}{7} (14 sqrt{2})^2 = 22 imes 28 imes 2$$ = $$1232 m^2$$
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