The side of the circumscribed triangle is 3 cm. Find the side of the regular 4-gon circumscribed about the same circle.
| May 28, 2021 | education
Apparently, the described triangle is equilateral. The circle is inscribed in this triangle. The radius of a circle inscribed in a regular triangle is found by the formula:
r = a / 2√3 = 3 / 2√3 = √3 / 2 (cm).
A regular quadrilateral that is circumscribed around a circle is a square.
Find the side of the square:
r = a / 2 → a = 2 * r = 2 * √3 / 2 = √3 (cm).
Answer: the side of the described square is √3 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.
