SOLUTION: A circle has a chord of length 8 that is tangent to a smaller, concentric circle. Find the area between the two circles?

Question 142045: A circle has a chord of length 8 that is tangent to a smaller, concentric circle. Find the area between the two circles?

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
a line drawn from the center of the circles to the center of the chord is perpendicular to the chord

the radius of the larger circle (R), the radius of the smaller circle (r), and half of the chord (4)
__ from a right triangle with the larger radius as the hypotenuse

by Pythagoras, r^2+4^2=R^2 __ subtracting r^2 __ 16=R^2-r^2

multiplying by pi __ 16(pi)=(pi)R^2-(pi)r^2 __ this is the area between the circles
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