A Problem with chord length and distance between them

Asked by  | 6th Mar, 2010, 06:11: PM

Expert Answer:

drop perpendiculars from the center O to the chords, naturally these perpendiculars have to meet the chords at their mid points.

let M and N be the mid points of the chords AB,CD respectively.

since the chords are parallel, so MON is a straight line.

let MO= x then NO=7-x... since the dist between the chords is given as 7 cm.

consider triangles OMB,



consider triangle OND,



if  r is the radius, then, by Pythagoras' theorem we get

solving we get,





Answered by  | 7th Mar, 2010, 10:09: AM

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