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\(ABCD\) is a trapezoid with \(AB < CD\) and \(AB\) parallel to \(CD\). \(\Gamma\) is a circle inscribed in \(ABCD\), such that \(\Gamma\) is tangent to all four sides. If \(AD = BC = 25 \) and the area of \(ABCD\) is \( 600\), what is the radius of \(\Gamma\)? 

 Dec 24, 2020
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The area of the triangle AOD is 1/4 of [ABCD].

 

To find a radius of a circle we ought to multiply [AOD] by 2 and then divide the product by 25.

 

r = 300 / 25 smiley 

 

 Dec 24, 2020

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