# The radius of the circle is 3.6 cm. find the area of a circle whose radius is 2 times less.

June 27, 2021 | education

| **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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