Calculate the side of a square circumscribed around a circle if the side of a regular hexagon

Calculate the side of a square circumscribed around a circle if the side of a regular hexagon inscribed in this circle is 15 cm

The side of a regular hexagon is equal to the radius of the circle around it.
By condition, the side is 15 cm, which means that the radius of the circumscribed circle is also 15 cm.
R = 15 cm.
Also, by condition, this circle is inscribed in a square. The radius in this case is found by the formula:
r = a / 2, where a is the side of the square. Knowing that the radius is 15 cm, we can find the side of the square:
15 = a / 2
a = 30 (cm).
Answer: the side of the square is 30 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.