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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Step-by-step explanation:
ANO is a right angle triangle,
∴ using pythogoras theorem,
OA2=ON2+AN2
132=ON2+122
ON2=132−122=169−144
ON2=25
⇒ON2=5cm
Similarly for ΔOCM
OC2=OM2+CM2
132=OM2+52
OM2=132−52
OM2=169−25
OM=144
=12cm
∴ Distance between chorts
=OM+ON
=12+5
=17cm.
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