document.write( "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?
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Algebra.Com's Answer #103484 by scott8148(6628)![]() ![]() 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\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the radius of the larger circle (R), the radius of the smaller circle (r), and half of the chord (4) \n" ); document.write( "__ from a right triangle with the larger radius as the hypotenuse\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "by Pythagoras, r^2+4^2=R^2 __ subtracting r^2 __ 16=R^2-r^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplying by pi __ 16(pi)=(pi)R^2-(pi)r^2 __ this is the area between the circles \n" ); document.write( " |