Two chords

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

Correct answer:

a =  16 cm
b =  8 cm

Step-by-step explanation:

h1​=4 cm h2​=8 cm  r2 = h12​ + h22​  r=h12​+h22​​=42+82​=4 5​ cm≐8.9443 cm  D=2⋅ r=2⋅ 8.9443=8 5​ cm≐17.8885 cm  a<D, b<D  r2 = h12​ + (a/2)2  a=2⋅ r2−h12​​=2⋅ 8.94432−42​=16 cm
r2 = h22​ + (b/2)2  b=2⋅ r2−h22​​=2⋅ 8.94432−82​=8 cm

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What is the length of base BC   -8, -6   6, -6





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