kryssypoo51
kryssypoo51 kryssypoo51
  • 01-04-2020
  • Mathematics
contestada

What is the area of a regular dodecagon with a side length of 9 centimeters? Round your answer to the nearest tenth.

Respuesta :

opudodennis
opudodennis opudodennis
  • 07-04-2020

Answer:

[tex]A=906.9\ cm^2[/tex]

Step-by-step explanation:

A do-decagon is a polygon with 12 straight sides and 12 equal angles.

-The general formula for finding area of a do-decagon is given as:

[tex]A=3(2+\sqrt{3})s^2[/tex]

where s is the sides length.

-Given the sides dimension is 9cm, the area is calculated as;

[tex]A=3(2+\sqrt{3})s^2\\\\=3(2+\sqrt{3})\times 9^2\\\\=906.8883462\approx906.9\ cm^2[/tex]

Hence, the do-decagon's area is [tex]906.9\ cm^2[/tex]

Answer Link

Otras preguntas

Which of the following inequalities matches the graph?A.3x - 2y \geqslant 4B.3x - 4y \leqslant 2C.3x - 2y \leqslant 4D.the correct inequality is not listed ​
What is an extremophile? Give an example
what are the first cells to arrive at a bacterial infection
Write the following ration as a reduced fraction. Simplify your answer when possible: 14 to 84
What is the vertex and the equation of the axis of symmetry of the graph of y=x^2-6x-7
Identify the nutrient that kale and leafy greens contain in significant amounts. A. oils B. folate C. vitamin B12 D. fats
What is the vertex and the equation of the axis of symmetry of the graph of y=x^2-6x-7
which people formed part of the adoption of capitalism ​
Hay’s Japanese American treaty allowed trade with that nation. True or false
What is the following product? 3sqrt4 * sqrt3