Find the area of a circle if the 2 / 7 circumference of that circle is 24.8.

It is known from the condition that 2/7 of the circumference of a certain circle is 24.8 cm.

Let’s define what the full length of this circle is equal to:

24.8 / 2/7 = 24.8 * 7/2 = 86.8 cm.

We calculate the length of the radius, with π = 3.1:

r = C / 2π = 86.8 / (2 * 3.1) = 86.8 / 6.2 = 14 cm.

Let’s calculate the area of this circle:

S = πr² = 3.1 * 14² = 3.1 * 196 = 607.6 cm².