SOLUTION: A chord 48mm long is 7mm from the center of a circle. What is the radius of the circle?

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Question 896470: A chord 48mm long is 7mm from the center of a circle. What is the radius of the circle?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A chord 48mm long is 7mm from the center of a circle.
What is the radius of the circle?
:
Draw this out as described. Note the right triangle formed by half the chord (24mm), the 7mm side to the center and the radius drawn to the end of the chord
:
Find the angle (A) formed by the chord and the radius, using the tangent
Side opposite = 7; side adjacent = 24
Tan%28A%29+=+7%2F24
A = 16.26 degrees
Use the sine of this angle to find the radius (hypotenuse)
Sin%2816.26%29+=+7%2Fr
.28+=+7%2Fr
.28r = 7
r = 7%2F.28
r = 25 mm is the radius