What should be the radius of the circle that bounds a circle with an area equal to the area of a square with side 5?

Let us determine what the area of the square will equal, when from the condition of the task we know that the length of its side is equal to 5:

5 * 5 = 25.

According to the conditions of the assignment, the area of the circle will also be equal to 25.

Let us determine what the radius of the circle will be equal to in this case, which limits such a circle, when from the school curriculum in geometry we know that the area of a circle is calculated by the formula пr ^ 2:

r = √ (Scr / п) = √ (25 / п) = 5 / √п = 5√п / п.

Answer: Under these conditions, the radius is 5√п / п.