# Circle simple

Circumference of a circle is 6.28. What is the area of the circle?

Result

S =  3.138

#### Solution:

$p = 6.28 \ \\ p = 2 \pi \cdot \ r \ \\ r = p/(2 \pi) = 6.28/(2 \cdot \ 3.1416) \doteq 0.9995 \ \\ S = \pi \cdot \ r^2 = 3.1416 \cdot \ 0.9995^2 \doteq 3.1384 = 3.138$

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