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+(r+122)2  3r224r288=0  a=3;b=24;c=288 D=b24ac=24243(288)=4032 D>0  r1,2=b±D2a=24±40326=24±2476 r1,2=4±10.5830052443 r1=14.5830052443 r2=6.58300524426   Factored form of the equation:  3(r14.5830052443)(r+6.58300524426)=0  r>0  r=14.58 cm



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