Question 1200000
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The given information is inconsistent; if the radius of the larger circle is 28cm, then its area is not 98 cm^2.<br>
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.<br>
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.<br>
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.<br>
ANSWER (using incorrect given information): 18 cm^2<br>