katew62
katew62 katew62
  • 15-04-2022
  • Mathematics
contestada

find the area of the shaded region. please show your work​

find the area of the shaded region please show your work class=

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 15-04-2022

Answer:

≈184.25

Step-by-step explanation:

1) if r=10 and 'a' is the length of the side of the triangle, then the ratio

a=r√3;

2) the required area can be calculated as

A=πr²-√3/4*a²; ⇔ A=πr²-3√3/4 r²;

3) according to the formula above, the required area:

[tex]A=r^2(\pi -\frac{3\sqrt{3} }{4} ); \ = > \ A=100*(3.1415-\frac{3*1.7321}{4})=184.2462[/tex]

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