1. Consider the circle shown below having angle AOB as $$135^\circ$$ and the shaded portion is the x part of the circular region. Calculate the value of x.
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By: anil on 05 May 2019 03.00 pm
Area of both unshaded parts = $$frac{ heta}{360^circ} imespi r^2$$ = $$2 imesfrac{135}{360} imes pi r^2$$ = $$frac{3}{4} pi r^2$$ Area of complete circle = $$pi r^2$$ $$ herefore$$ Area of shaded region = $$pi r^2-frac{3}{4} pi r^2=frac{1}{4} pi r^2$$ => Shaded portion is $$frac{1}{4}$$ of circular region. => Ans - (D)
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