find the length of a chord which is at a distance of 4cm from the centre of a circle of radius 15cm ?
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let the chord be AB
M is the midpoint of AB such that OM is 4cm
R is 15cm
let OB the radius of the circle
therefore in triangle OMB
OM^2+MB^2=OB^2
(4)^2+MB^2=15^2
MB^2=225-16
MB=14.45CM
THEREFORE THE LENGTH OF CHORD AB IS 2(14.45)
THEREFORE CHORD=28.9(APPROX=29CM)
M is the midpoint of AB such that OM is 4cm
R is 15cm
let OB the radius of the circle
therefore in triangle OMB
OM^2+MB^2=OB^2
(4)^2+MB^2=15^2
MB^2=225-16
MB=14.45CM
THEREFORE THE LENGTH OF CHORD AB IS 2(14.45)
THEREFORE CHORD=28.9(APPROX=29CM)
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