In a circle a chord 2cm away from the Centre is 8 cm long
a) What is the radius of the circle?
b) what is the length of a chord 4cm away from the center of the circle
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a) if a perpendicular draw from center to chord it divide chord equally & make 2 right angel ∆
in given right angel∆ base is 8/4=4cm (1/2 of chord)&hight =2cm, then
radius square=(4×4)+(2×2)
=16+4
=20
radius=√20
b) square of 1/2of length of chord={(√20×√20)-(4×4)}
=(20-16)
=4
1/2 of length=√4=2
length=2×2=4
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