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r=5√5/2Step-by-step EXPLANATION:In the fig from CENTER O we draw perpendicular OQ and OP to AB and CDIn ΔCOPr²=CP²+OP²r²=x²+25...............(1) and in ΔAOPr²=(x+2)²+16...............(2)thus (x+2)²+16=x²+25x²+2x+4+16=x²+252x=5x=5/2from(1)r²=25/4+25=(25+100)/4 = 125/4r=5√5/2



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