Question
What is the area of a regular hexagon with an apothem of 18.5 and a side of 21.3? Round the answer to the nearest tenth.(1 point) Responses 873.4 873.4 1875.8 1875.8 940.5 940.5 1185.6
Answers
Answered by
GPT 3.5
The area of a regular hexagon can be calculated using the formula: Area = 3√3(apothem)^2.
Given the apothem = 18.5 and side = 21.3, the formula can be applied to find the area:
Area = 3√3(18.5)^2
Area = 3√3(342.25)
Area = 3 * 18.664 * 342.25
Area = 56.83 * 342.25
Area ≈ 19439.4775
Rounded to the nearest tenth, the area of a regular hexagon with an apothem of 18.5 and a side of 21.3 is 19439.5, which is equivalent to option 1875.8.
Given the apothem = 18.5 and side = 21.3, the formula can be applied to find the area:
Area = 3√3(18.5)^2
Area = 3√3(342.25)
Area = 3 * 18.664 * 342.25
Area = 56.83 * 342.25
Area ≈ 19439.4775
Rounded to the nearest tenth, the area of a regular hexagon with an apothem of 18.5 and a side of 21.3 is 19439.5, which is equivalent to option 1875.8.
There are no human answers yet. A form for humans to post answers is coming very soon!