Question

радиус окружнасти описанный около квадрата 15 корень 2,найти сторону квадрата

Answer 1

Диагональ квадрата =2R окружности,т.е. равна 30 корень из 2.

Из прямоугольного треугольника, гипотенузой котрого является диагональ квадрата, а стороны равны (обозначим за a), по теореме Пифагора:

а^2+a^2=(30 корень из 2)^2

2*a^2=900*2

a^2=900

a=30 

Answer 2

Calculating the Side Length of a Square

To find the side length of a square, given the radius of the circle circumscribed around it, we can use the relationship between the side length of the square and the radius of the circumscribed circle.

The formula to find the side length of a square from the radius of the circumscribed circle is: side length = radius × √2

Given that the radius of the circumscribed circle is 15, we can calculate the side length of the square using the formula.

Calculation

Using the formula, the side length of the square can be calculated as: side length = 15 × √2

Result

The side length of the square is 15√2.