Question

Помогите:* Найдите радиус вписанной в квадрат окружности,если диагональ квадрата равна 8 корней из 2 см?(с решением пожалуйста)

Answer 1

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Answer 2

Finding the Radius of the Inscribed Circle in a Square

To find the radius of the inscribed circle in a square, we can use the relationship between the diagonal of the square and the radius of the inscribed circle.

Let's denote the diagonal of the square as d and the radius of the inscribed circle as r.

According to the relationship, the diagonal of the square is equal to the diameter of the inscribed circle. Therefore, we have:

d = 2r

In this case, the diagonal of the square is given as 8√2 cm. We can substitute this value into the equation to find the radius:

8√2 = 2r

To solve for r, we can divide both sides of the equation by 2:

r = (8√2) / 2

Simplifying the expression:

r = 4√2 cm

Therefore, the radius of the inscribed circle in the square is 4√2 cm.

Solution:

The radius of the inscribed circle in the square is 4√2 cm.