Find the area of a circle if the circumference of this circle is 62 cm.

To find the area of a circle (S), you need to use the formula:

S = n * R ^ 2, where n is a mathematical constant equal to 3.1; R is the radius of the circle.

Only the circumference is known from the problem statement.

Recall that the circumference (L) is calculated by the formula:

L = 2p * R.

Let us express the radius of the circle from this formula:

R = L / 2p.

Let’s calculate the radius of a circle, the length of which is 62 cm:

R = 62 / (2 * 3.1) = 62 / 6.2 = 10 cm.

Knowing the radius of the circle, we calculate the area of the circle:

S = 3.1 * 10 ^ 2 = 3.1 * 100 = 310 cm ^ 2.

Answer: 310 cm ^ 2.