jaidyn21
jaidyn21 jaidyn21
  • 20-04-2019
  • Mathematics
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Find the area of the shaded region. Round to the nearest tenth.

Find the area of the shaded region Round to the nearest tenth class=

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remotecontrolbrain
remotecontrolbrain remotecontrolbrain
  • 20-04-2019

(shaded area) = (area of circle section 360-130 degrees) + (isosceles triangle)

(section area 230 degrees) = [tex]\frac{230^\circ}{360^\circ}\pi r^2= 0.6389\cdot 3.1416\cdot 123.21 m^2 = 247.3m^2[/tex]

(triangle area) = [tex]\frac{1}{2}a\cdot b\cdot\sin 130^\circ = \frac{1}{2}11.1^2 m^2\cdot\sin 130^\circ=47.19m^2[/tex]

(Total area) = 247.3 + 47.2 = 294.5 m^2

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