The circumference of the circus arena is 41m. find the diameter and area of the arena.

It is known from the condition that the circumference of the circus arena is 41 m. In order to find the diameter and area of the circus arena, we will use the formulas for finding the circumference and area of the circle through the diameter.

So, in order to find the circumference through the diameter, the formula is used:

l = πd.

3.14d = 41;

d = 41: 3.14;

d = 13 meters diameter of the circus arena.

Now we are looking for the area by the formula:

S = 1 / 4πd ^ 2;

Substitute and calculate:

S = 1/4 * 3.14 * 132 = 1/4 * 3.14 * 169 = 132.7 m2.

Answer: d = 13 m; S = 132.7 m2.