Respuesta :

linandrew41

To know the area of a regular hexagon:

  ⇒ must know the formula:

          [tex]Area = \frac{3\sqrt{3} }{2} s^2[/tex]

  • s: length of the side

Consider the information given:

  • Length of side ⇒ 5 cm

Let's solve:

  [tex]Area=\frac{3\sqrt{3} }{2} (5)^2=64.95cm^2[/tex]

Answer: 65.0 cm²

Hope that helps!

Answer:

64.1 cm²

Step-by-step explanation:

Central Angle = 360 °

∴ ∠AOB = 360 ° / 12

⇒ Tan 30° = AB/ 4 · 3

⇒ AB = 4.3 tan 30°

∴ (ΔAOB) = 1/2 × AB × OB

= 1/2 × 4.3 tan 30° × 4.3

= 5.34 cm

∴ Area of regular hexagon = 12 (a⊃(ΔAOB))

= 12 (5.34 cm²)

= 64.1 cm²

Otras preguntas