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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