The area ratio of the shadow part to the blank part of the big circle is 1:6, and the area ratio of the shadow part to the blank part of the small circle is 2:5 The area ratio of the shadow part to the blank part of the big circle is 1:6, and the area ratio of the shadow part to the blank part of the small circle is 2: given that the radius of the big circle is 10 cm, what is the area of the small circle?

The area ratio of the shadow part to the blank part of the big circle is 1:6, and the area ratio of the shadow part to the blank part of the small circle is 2:5 The area ratio of the shadow part to the blank part of the big circle is 1:6, and the area ratio of the shadow part to the blank part of the small circle is 2: given that the radius of the big circle is 10 cm, what is the area of the small circle?

If the area ratio of the shadow part to the blank part of the big circle is 1:6, the shadow part accounts for 1 / (1 + 6) = 1 / 7 of the big circle
If the ratio of the area of the shadow part to the area of the blank part of the small circle is 2:5, the shadow part accounts for 2 / (2 + 5) = 2 / 7 of the small circle
The area of the small circle is 10 * 10 * 3.14 * 1 / 7 / (2 / 7) = 157 square centimeters