What is the radius of a circle circumscribed about a regular quadrilateral with a side of 6 cm?
| July 5, 2021 | education
The diameter of a circle circumscribed about a square is equal to the diagonal of the square, then its radius is equal to half the length of the diagonal.
In a right-angled triangle ABC, according to the Pythagorean theorem, we determine the length of the hypotenuse AC.
AC ^ 2 = AB ^ 2 + BC ^ 2 = 6 ^ 2 + 6 ^ 2 = 36 + 36 = 72.
AC = √72 = 6 * √2 cm.
Then ОА = R = АС / 2 = 6 * √2 / 2 = 3 * √2 cm.
Answer: The radius of the circumscribed circle is 3 * √22 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
