Question

в окружности вписан правельный 6угольник,периметр равен 216см, найти длину радиуса окружности

Answer 1

 Р = а * 6

216=а * 6

а=36

радиус описаной окружности равен стороне шестиугольника, т.е. = 36см.

 

 

 

 

 

 

 

 

 

Answer 2

Finding the Length of the Radius of a Circle Inscribed in a Regular Hexagon

To find the length of the radius of a circle inscribed in a regular hexagon, we can use the formula:

Radius = Perimeter of the Hexagon / (2 * √3)

Given that the perimeter of the hexagon is 216 cm, we can substitute this value into the formula to find the radius.

Radius = 216 cm / (2 * √3)

Now, let's calculate the value of the radius.

Radius = 216 cm / (2 * √3) = 216 cm / (2 * 1.732) ≈ 62.36 cm

Therefore, the length of the radius of the circle inscribed in the regular hexagon is approximately 62.36 cm.

Please note that the above calculation assumes that the hexagon is regular, meaning that all its sides and angles are equal.