Find the area of a circle if 2/7 of the circumference of this circle is 24.8 cm.
March 9, 2021 | education
| First, find the total circumference:
24.8: 2/7 = 24.8 * 7/2 = 86.8 cm;
Find the radius of the circle through the known circumference (P = 2 * π * R):
R = P / (2 * n) = 86.8 / (2 * 3.1) = 14 cm;
We find the area of a circle using the formula:
S circle = 3.1 * R ^ 2 = 3.1 * 14 * 14 = 607.6 cm ^ 2;
Answer: 607.6 cm ^ 2.
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