Two chords

Calculate the length of chord AB and perpendicular chord BC to circle if AB is 4 cm from the center of the circle and BC 8 cm from the center of the circle.

Correct result:

a =  16 cm
b =  8 cm

Solution:

h1=4 cm h2=8 cm   r2=h12+h22  r=h12+h22=42+82=4 5 cm8.9443 cm  D=2 r=2 8.9443=8 5 cm17.8885 cm  a<D,b<D  r2=h12+(a/2)2   a=2 r2h12=2 8.9443242=16 cm
r2=h22+(b/2)2  b=2 r2h22=2 8.9443282=8 cm



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