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Question Number 70915 by Mr. K last updated on 09/Oct/19

Commented by Mr. K last updated on 09/Oct/19

$T h e c i r c l e s h a v e t h e s a m e r a d i u s .$ $T h e t r i a n g l e i s e q u i l a t e r a l s i d e$ $28 (1 + \sqrt{3}) . D e t e r m i n e t h e r a d i u s$ $o f t h e c i r c u m f e r e n c e s .$
	Answered by mind is power last updated on 09/Oct/19

	$\frac{2 r}{t g (30)} + 2 r = 28 (1 + \sqrt{3})$ $\Rightarrow (\frac{2}{t g (30)} + 2) r = 28 (1 + \sqrt{3})$ $\Rightarrow 2 (1 + \sqrt{3}) r = 28 (1 + \sqrt{3})$ $\Rightarrow r = 14$
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