Circle's chords

The circle has two chord lengths, 30 and 34 cm. The shorter one is from the center twice as a longer chord. Determine the radius of the circle.

Correct answer:

r =  17.6163 cm

Step-by-step explanation:

t1=30 t2=34 r2=(t1/2)2+(2x)2 r2=(t2/2)2+x2 3x2 = (t2/2)2 (t1/2)2 x=((t2/2)2(t1/2)2)/3=((34/2)2(30/2)2)/34.6188 r1=(t1/2)2+(2x)2=(30/2)2+(2 4.6188)217.6163 r2=(t2/2)2+(x)2=(34/2)2+4.6188217.6163 r=r1=17.6163=17.6163 cm

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