SOLUTION: If a chord of a circle of the radius 5 cm. is a tangent to a circle of radius 3 cm., both the circle being cocentric, then the length of the chord is

Algebra ->  Circles -> SOLUTION: If a chord of a circle of the radius 5 cm. is a tangent to a circle of radius 3 cm., both the circle being cocentric, then the length of the chord is      Log On


   



Question 963801: If a chord of a circle of the radius 5 cm. is a tangent to a circle of radius 3 cm., both the circle being cocentric,
then the length of the chord is

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If a chord of a circle of the radius 5 cm. is a tangent to a circle of radius 3 cm., both the circle being cocentric, then the length of the chord is:
:
draw this out as described, note the chord is 3 cm from the center, draw two 5" radii to each end of the chord, forming two right triangles.
Let a = half the length of the chord, use pythag here
a^2 + 3^2 = 5^2
a^2 = 25 - 9
a = sqrt%2816%29
a = 4"
therefore
2 * 4 = 8" is the length of the chord
: