# Chord circle

The circle to the (S, r = 8 cm) are different points A, B connected segment /AB/ = 12 cm. AB mark the middle of S'. Calculate |SS'|. Make the sketch.

Result

x =  5.292 cm

#### Solution:

$r=8 \ \text{cm} \ \\ a=12 \ \text{cm} \ \\ \ \\ r^2=(a/2)^2 + x^2 \ \\ \ \\ x=\sqrt{ r^2 - (a/2)^2 }=\sqrt{ 8^2 - (12/2)^2 } \doteq 2 \ \sqrt{ 7 } \doteq 5.2915 \doteq 5.292 \ \text{cm}$

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