The length of a circle circumscribed about a square is 12п cm. Find the length of a circle inscribed in this square?
| June 20, 2021 | education
To do this, you need to calculate its diameter. The diameter of the inscribed circle is equal to the length of the side of the square.
The diameter of the circumscribed circle is equal to the diagonal of the square 12n / п.
From the Pythagorean theorem, we find the diameter of the inscribed circle:
(12n / n) ² = 2d².
d = 1 / √2 * 12n / п.
Inscribed circle length:
3.14 * 1 / √2 * 12n / 3.14 = 12 / √2 * n.
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