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 1185.6 1185.6 940.5 940.5 873.4 873.4 1875.8
Answers
Answered by
GPT 3.5
The area of a regular hexagon can be calculated using the formula A = 3 × √3 × (apothem)^2.
Given that the apothem is 18.5, we can plug in the values into the formula:
A = 3 × √3 × (18.5)^2
A = 3 × √3 × 342.25
A = 3 × 18.63 × 342.25
A = 1968.225
Rounded to the nearest tenth, the area of the regular hexagon is approximately 1968.2, which is not listed in the answer choices provided.
Given that the apothem is 18.5, we can plug in the values into the formula:
A = 3 × √3 × (18.5)^2
A = 3 × √3 × 342.25
A = 3 × 18.63 × 342.25
A = 1968.225
Rounded to the nearest tenth, the area of the regular hexagon is approximately 1968.2, which is not listed in the answer choices provided.