If the radius of the big circle is twice that of the small circle, and the area of the big circle is 12 square centimeters more than that of the small circle, then the area of the small circle is () A. 12 square centimeter B. 4 square centimeter C. 6 square centimeter D. 8 square centimeter

If the radius of the big circle is twice that of the small circle, and the area of the big circle is 12 square centimeters more than that of the small circle, then the area of the small circle is () A. 12 square centimeter B. 4 square centimeter C. 6 square centimeter D. 8 square centimeter

Because the radius of the big circle is twice that of the small circle, the area of the big circle is four times that of the small circle. The area of the small circle is 12 △ (4-1) × 1 = 4 (square centimeter). Answer: the area of the small circle is 4 square centimeter, so choose B