AB and CD are two chords of a circle on the same side of the centre such that AB = 8 cm, CD = 10 cm and AB || CD. If the distance between AB and CD is 2 cm, then find the radius of the circle. :)

AB and CD are two chords of a circle on the same side of the centre su

1.	AB and CD are two chords of a circle on the same side of the centre such that AB = 8 cm, CD = 10 cm and AB \|\| CD. If the distance between AB and CD is 2 cm, then find the radius of the circle. :)
Answer» -STEP explanation:ANO is a right angle TRIANGLE,∴ using pythogoras theorem,OA2=ON2+AN2132=ON2+122ON2=132−122=169−144ON2=25⇒ON2=5cmSimilarly for ΔOCMOC2=OM2+CM2132=OM2+52OM2=132−52OM2=169−25OM=144=12cm∴ DISTANCE between chorts=OM+ON=12+5=17cm.

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AB and CD are two chords of a circle on the same side of the centre such that AB = 8 cm, CD = 10 cm and AB || CD. If the distance between AB and CD is 2 cm, then find the radius of the circle. :)

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