SOLUTION: A circle has a diameter of 20cm.A chord is 6cm from the center of the circle. How long is the chord?

Algebra ->  Circles -> SOLUTION: A circle has a diameter of 20cm.A chord is 6cm from the center of the circle. How long is the chord?      Log On


   

Question 134971: A circle has a diameter of 20cm.A chord is 6cm from the center of the circle. How long is the chord?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem
a%5E2+%2B+b%5E2+=+c%5E2
in this case, c=10 (the radius), a = 6 so solve for b
You can see this is a 3:4:5 triangle. So b = 8
The chord will be 8+8 = 16