Circle chord

Determine the radius of the circle in which the chord 6 cm away from the center of the circle is 12 cm longer than the radius of the circle.

Correct answer:

r =  14.58 cm

Step-by-step explanation:

 r2=62+(2r+12)2  3r224r288=0  a=3;b=24;c=288 D=b24ac=24243(288)=4032 D>0  r1,2=2ab±D=624±4032=624±247 r1,2=4±10.583005244258 r1=14.583005244258 r2=6.5830052442584   Factored form of the equation:  3(r14.583005244258)(r+6.5830052442584)=0  r>0  r=14.58 cm

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