document.write( "Question 1200000: two concentric circles have radii 12cm and 28cm respectively. if the larger circle has an area of 98cm square. calculate the area ratio of the larger circle to the smaller circle and hence calculate the area of the smaller circle \n" ); document.write( "
Algebra.Com's Answer #833999 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The given information is inconsistent; if the radius of the larger circle is 28cm, then its area is not 98 cm^2. \n" ); document.write( "Very probably, the intent of the problem is to teach the concept that the ratio of area measurements in two similar figures is the square of the ratio of linear measurements. \n" ); document.write( "The ratio of linear measurements in the two circles is 12:28 = 3:7, so the ratio of area measurements is 3^2:7^2 = 9:49. \n" ); document.write( "Then, if we use the (incorrect) value of 98 cm^2 for the area of the larger circle, then the area of the smaller circle will be 98*(9/49) = 18 cm^2. \n" ); document.write( "ANSWER (using incorrect given information): 18 cm^2 \n" ); document.write( " \n" ); document.write( " |