The circumference is 6.28 m. Find the area of the circle bounded by this circle.

Given:

A circle;

Circle length c = 6.28 m;

pi = 3.14;

Let’s find S – the area of the circle.

Decision:

1) The circumference of the circle is equal to c = 2 * pi * r.

Find R.

6.28 m = 2 * pi * r;

r = 6.28 / (2 * pi);

t = 3.14 / pi;

2) The area of the circle is found by the formula S = pi * r ^ 2.

Substitute the known values into the formula and calculate the area of the circle. We get:

S = pi * (3.14 / pi) ^ 2 = pi * 3.14 ^ 2 / pi ^ 2 = 3.14 ^ 2 / pi = 3.14 ^ 2 / 3.14 = 3.14;

Answer: S = 3.14 m ^ 2.