In a regular hexagon, the side is 6 roots of 3 cm Find the perimeter and area of the hexagon
| May 25, 2021 | education
In a regular hexagon, the side is 6 roots of 3 cm Find the perimeter and area of the hexagon, the radius of the inscribed and circumscribed circles
The perimeter of the hexagon is: P = 6 * AB = 36 * √3 cm.
The area of a regular hexagon is: S = AB2 * 3 * √3 / 2 = 48 * 3 * √3 / 2 = 324 * √3 / 2 = 162 * √3 cm2.
The radius of the circumscribed circle of a regular hexagon is equal to the length of the side of the hexagon: R = AB = 6 * √3 cm.
The radius of the inscribed circle is: r = AB * √3 / 2 = 6 * √3 * √3 / 2 = 9 cm.
Answer: The radii are 6 * √3 cm, 9 cm, the area is 162 * √3 cm2, the perimeter is 36 * √3 cm.
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