SOLUTION: i know this ha nothing to do with algebra but i figuered why not give it a try if someone may know this can u show me how step by step a circle has a chord of length 8 that is

Question 146706: i know this ha nothing to do with algebra but i figuered why not give it a try if someone may know this can u show me how step by step
a circle has a chord of length 8 that is tangent to a smaller, concentric circle. find the area between the circles?
A.16pie
B.9pie
C.24pie
D.36pie
E.n/a

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
It always helps to draw a picture

note: "R" is the radius of the larger circle and "r" is radius of the smaller circle. Also, I divided the chord in half.

From the picture, we can see that the radius R is the hypotenuse of the triangle with legs of "r" and 4. So this means

Square 4 to get 16

Subtract from both sides

So

Now the area of the larger circle is and the area of the smaller circle is

Since we want the area between the two circles, we must subtract the two areas to get:

Factor out the GCF

Plug in . In other words, replace with 16

Rearrange the terms

So the area between the two circles is
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