The perimeter of a regular hexagon inscribed in a circle is 48 m. Find the radius of the circumscribed circle.
| January 11, 2021 | education
As we know from the school mathematics course, the radius of a circle that is described around a regular hexagon will be equal to the side of this hexagon.
Let us determine what the side of a given regular hexagon will be equal to, when it is precisely known from the condition of our problem that its perimeter is 48 meters:
48: 6 = 8.
That is, the radius of the circle will also be 8 meters.
Answer: Based on the initial conditions of our problem, the radius of the indicated circle will be 8 meters.
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