oopsydaisy
oopsydaisy oopsydaisy
  • 31-07-2016
  • Mathematics
contestada

Find the area of the shaded region. Leave your answer in terms of and in simplest radical form.

Find the area of the shaded region Leave your answer in terms of and in simplest radical form class=

Respuesta :

meerkat18
meerkat18 meerkat18
  • 08-08-2016
Given:
Radius = 12 m

Area of a circle = π r²  
A = 3.14 * (12m)²
A = 3.14 * 144 m²
A = 452.16 m²

360°/60° = 6

452.16 m² * 5/6 = 376.80 m² Area of the remaining circle.

Area of the equilateral triangle = (√3/4) a² 
* radius of the circle is the side length of the triangle.
A =  (√3/4) * (12m)²
A = 0.433 * 144m²
A = 62.352 m²

Area of the shaded region = 376.80m² + 62.352m²

Area of the shaded region = 439.152 m²
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