A4=4 Квадрат- описан около окружности Найти: C-? S-?

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To find the perimeter (C) and the area (S) of a square inscribed in a circle, you first need to determine the radius of the circle.

Since the square is inscribed in the circle, the diagonal of the square would be equal to the diameter of the circle. Using the Pythagorean theorem for a right-angled triangle formed by the diagonal of the square and its sides, you can determine the radius of the circle:

Diagonal (d) = 2 side of the square (a)
d = 2 a

Now, in a right-angled triangle, the diagonal (d), the side (a), and the radius (r) are related by the Pythagorean theorem:

d^2 = a^2 + a^2
(2a)^2 = a^2 + a^2
4a^2 = 2a^2
2a^2 = r^2
r = a * sqrt(2)

Given that the side length of the square is 4, the radius of the circle is:

r = 4 sqrt(2) = 4 1.414 = 5.657

Now, you can calculate the perimeter (C) and the area (S) of the square:

C = 4 a, where a = 4
C = 4 4 = 16 units

S = a^2, where a = 4
S = 4^2 = 16 square units

Therefore, the perimeter of the square is 16 units and the area of the square is 16 square units.