Circle chord

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

Correct answer:

r =  14.58 cm

Step-by-step explanation:

 r2=62+(2r+12)2  3r224r288=0 3 ...  prime number 24=233 288=2532 GCD(3,24,288)=3=3  r28r96=0  a=1;b=8;c=96 D=b24ac=8241(96)=448 D>0  r1,2=2ab±D=28±448=28±87 r1,2=4±10.583005 r1=14.583005244 r2=6.583005244   Factored form of the equation:  (r14.583005244)(r+6.583005244)=0  r>0  r=14.58 cm

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
The Pythagorean theorem is the base for the right triangle calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: