Find the area of a circle and the length of its circumference if the side of a regular triangle inscribed in it is exactly 5√3 cm.

From the school curriculum in geometry, we well know that the radius of a circle that is described around a regular triangle can be calculated by the formula a√3 / 3, where a is the length of the side.
Let’s determine how many centimeters the radius of our circle will express, when from the condition of the task we know that the length of the side is 5√3 centimeters:
5√3 * √3 / 3 = 5.
Let’s define what the circumference will be equal to:
3.14 * 2 * 5 = 31.4.
Let’s determine what the area of the circle will be:
3.14 * 52 = 78.5.
Answer: The circumference is 31.4 cm, the area of the circle is 78.5 cm2.