Solutions 45511

Two parallel chords in a circle with a radius of 6 cm have lengths of 6 cm and 10 cm. Calculate their distance from each other. Find both solutions.

Correct answer:

x =  8.5128 cm
y =  1.8795 cm

Step-by-step explanation:

r=6 cm a=6 cm b=10 cm  r2 = x12 + (a/2)2 x1=r2(a/2)2=62(6/2)2=3 3 cm5.1962 cm  r2 = x22 + (b/2)2 x2=r2(b/2)2=62(10/2)2=11 cm3.3166 cm  x=x1+x2=5.1962+3.3166=8.5128 cm
y=x1x2=5.19623.3166=1.8795 cm

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