Question

Сторона квадрата равна 12корней из 2 найдите радиус окружности описанной около этого квадрата

Answer 1

Радиус равен половине гипотенузы этого квадрата: (12 корней из 2)^2 + (12 корней из 2)^2= 576 (выделяем корень = 24) 
24:2= 12

Answer 2

Calculating the Radius of the Circumscribed Circle

To find the radius of the circumscribed circle around a square with side length equal to 12√2, we can use the following formula:

Radius of the circumscribed circle (R) = (Side length of the square / 2) * √2

Substituting the given side length of the square (12√2) into the formula, we get:

R = (12√2 / 2) * √2

Solving this, we get:

R = 6√2 * √2 = 6 * 2 = 12

Therefore, the radius of the circumscribed circle around the given square is 12.