Question

Length of 2 parallel of a circle are 6 cm and 8 cm respectively. If the smaller chord is at a distance of 4 cm from the centre, what is the distance of
the other chord from the centre?

URGENT!!!

Answer 1

 given ,  
     OM - prependicular on  CD = 4 cm and bisector of CD 
        => CM = MD = 3cm 
 let AB parallel CD , O is the centre of the circle 
const . draw radius OC which makes a triangle  OCM , draw OL prependicular on        AB  and OL bisects AB & join OA ( radius ) which forms a triangle OLA
 
In tri OCM ,
   $OC^2 = OM^2 + MC^2$
                  =  (4)^2 + (3)^2
                   = $\sqrt{25}$
           Radius   = 5 cm 
now in triangle OLA ,
    OL^2 = OA^2 - OL^2
            = $\sqrt{9}$
            = 3 cm 
    therefore , 3cm is the distance from the centre from the other chord