SOLUTION: A chord of a circle is 9cm long. if it's distance from the centre of the circle is 5cm,calculate the radius of the circle

Algebra ->  Pythagorean-theorem -> SOLUTION: A chord of a circle is 9cm long. if it's distance from the centre of the circle is 5cm,calculate the radius of the circle      Log On


   

Question 1198218: A chord of a circle is 9cm long. if it's distance from the centre of the circle is 5cm,calculate the radius of the circle
Found 2 solutions by math_tutor2020, ankor@dixie-net.com:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Hint: This is what the drawing would look like.

Another hint: Apply the pythagorean theorem to find hypotenuse AC.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A chord of a circle is 9cm long.
if it's distance from the centre of the circle is 5cm,calculate the radius of the circle
:
draw this as described, the line distance from the center bisects the chord, forming two identical right triangles with sides of 4.5 and 5, the radius, then, will be the hypotenuse (r)
:
r+=+sqrt%284.5%5E2+%2B+5%5E2%29
r = 6.7268