Respuesta :
The area of the hexagon is 1374.4 square cm.
Given that
A hexagon has a radius measuring 23 cm.
We have to determine
What is the approximate area of the hexagon?
According to the question
A hexagon has a radius measuring 23 cm.
A polygon having six sides and six angles are called a Hexagon.
Regular hexagons have six equal sides and six angles and are composed of six equilateral triangles.
[tex]\rm Area = \dfrac{3\sqrt{3}}{2}s^2[/tex]
Where, s is the radius of the hexagon.
Then,
The area of the hexagon is,
[tex]\rm Area = \dfrac{3\sqrt{3}}{2}s^2\\ \\ \rm Area = \dfrac{3\sqrt{3}}{2}(23)^2\\ \\ \rm Area = \dfrac{3\sqrt{3}}{2} \times 529\\ \\ \rm Area = 3\sqrt{3}} \times 264.5\\ \\ Area = 5.19 \times 264.5\\ \\ Area = 1374. 4 \ square \ cm[/tex]
Hence, The area of the hexagon is 1374.4 square cm.
To know more about Hexagon click the link given below.
https://brainly.com/question/10153699
Answer:
Area of the hexagon is 1374.4 cm
Step-by-step explanation:
Edge
