The side of the square is 16 cm. Find the radius of the inscribed and circumscribed circle.
| March 4, 2021 | education
The diameter of the inscribed circle is equal to the side of the square, i.e. d = 16 cm.Then the radius of the inscribed circle is r = d / 2 = 16/2 = 8 cm.
The diameter of the circumscribed circle is equal to the diagonal of the square, the length of which can be determined by the Pythagorean theorem: D = √ (a ^ 2 + a ^ 2) = a * √ (2) = 16 * √ (2). Then the radius of the circumscribed circle is R = D / 2 = 16 * √ (2) / 2 = 8 * √ (2) cm.
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