The circumference is 20.7 m. Find the area of the circle.

A circle is a locus of points on a plane equidistant from a given point, which is called the center of a circle.
A circle is a flat geometric figure whose points are equidistant from a given point, the center of the circle.
1) Find the radius of the circle, knowing the length.
Let’s write down the formula for finding the circumference:
l = 2πR,
where l is the circumference, R is the radius, π = 3.14.
Let us express the radius of the circle from the formula:
R = l / 2π.
Substitute the known values ​​of the circumference and the constant π into the formula, find the radius of the circle:
R = 20.7 / (2 × 3.14) = 20.7 / 6.28 = 3.3 m.
2) Calculate the area of ​​the circle. The area of ​​a circle is denoted by the letter S. Let’s write the formula for calculating the area of ​​a circle:
S = πR²,
S = 3.14 × 3.3² = 3.14 × 10.89 = 34.2 m².
Answer: The area of ​​the circle is 34.2 m².



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