The radius of the circle is 3.6 cm. find the area of a circle whose radius is 2 times less. In what relation is the area of the smaller circle to the area of the larger
1. Let’s find the area of the larger circle S1. If its radius is 3.6 cm:
S1 = nR1²;
S1 = 3.14 * 3.6² = 3.14 * 12.96 = 40.6944 cm²;
2. Find the radius of the smaller circle if it is 2 times smaller than the radius of the larger circle:
3.6 / 2 = 1.8 cm;
3. Find the area of the larger circle S2. If its radius is 1.8 cm:
S2 = nR2²;
S2 = 3.14 * 1.8² = 3.14 * 3.24 = 10.1736 cm²;
4. Find the ratio of the area of the smaller circle to the area of the larger circle S2: S1:
S2 / S1 = 10.1736 / 40.6944 = 0.25;
Answer: The ratio of the area of the smaller to the larger is 0.25.
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