A hoop is resting vertically at stair case as shown in the diagramThe – InterviewSolution

1.	A hoop is resting vertically at stair case as shown in the diagramThe radius of the hoop is8 cm. A) 13 cm(B) 12v2 cmO 14cmD) 1342 cmE) of these
Answer» AB=12cmandBC=8cmLetrbetheradiusofthehoopthen,OC=OA=rWeknowthatinrectangleJABCAB=JC=12cm&BC=AJ=8cm[oppositesidesofrectangleareequal]Now,OJ=OA−AJ=(r−8)cmInrightangled△OJCOC2=OJ2+JC2⇒r2=(r−8)2+(12)2⇒r2=r2+64−16r+144⇒r2=r2+208−16r⇒16r=208⇒r=20816=13cm

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