1. Two circles touch each other externally. The sum of their areas is 130 $$\pi$$ sq cm and the distance between their centres is 14 cm. The radius of the smaller circle is
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By: anil on 05 May 2019 02.57 pm
Let the radius of bigger circle = $$x$$ and smaller circle = $$y$$ Now, distance between their centres = 14 => $$x + y$$ = 14 Sum of their areas = 130$$pi cm^2$$ => $$pi x^2 + pi y^2 = 130pi$$ => $$x^2 + y^2 = 130$$ Now, solving above equations, we get $$x = 11$$ and $$y = 3$$
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