SOLUTION: Find the length of a chord that is 15 cm from the center of a circle with a radius of 20 cm.

Algebra ->  Circles -> SOLUTION: Find the length of a chord that is 15 cm from the center of a circle with a radius of 20 cm.      Log On


   

Question 874874: Find the length of a chord that is 15 cm from the center of a circle with a radius of 20 cm.
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q: Find the length of a chord that is 15 cm from the center of a circle with a radius of 20 cm.
A:
In the figure below, a = 15, b = unknown and c = 20

Using Pythagorean Theorem,
a%5E2+%2B+b%5E2+=+c%5E2
15%5E2+%2B+b%5E2+=+20%5E2
b+=+sqrt%2820%5E2+-+15%5E2%29 = 5%2Asqrt%287%29 cm
So the chord is 2b = 10%2Asqrt%287%29 cm or 26.46 cm (approx)