# The radius of one circle is 2 times the radius of the other. Find the area of the smaller circle if the area

August 18, 2021 | education

| **The radius of one circle is 2 times the radius of the other. Find the area of the smaller circle if the area of the larger circle is 52 cm².**

1. It is known that the area of a circle is S = P * R ^ 2.

2. By the condition of the problem, the radius r of the smaller circle is 2 times less than the radius R of the larger circle.

3. It is known that the area of the larger circle S is 52 cm ^ 2.

S = n * R ^ 2 = 52 cm ^ 2.

4. Find the area of the smaller circle s.

s = n * r ^ 2, knowing that r = R / 2 we substitute this value in the formula for s.

s = n * (R / 2) ^ 2 = n * R ^ 2: 4 = S: 4 = 52 cm ^ 2: 4 = 13 cm ^ 2.

Answer: The area of the smaller circle is 4 times less than the area of the larger circle and is equal to 13 square centimeters.

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