mimicito06 mimicito06
  • 07-04-2020
  • Mathematics
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Find the area of the shaded sector of the circle. Leave in terms of pi.

Find the area of the shaded sector of the circle Leave in terms of pi class=

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ulili
ulili ulili
  • 07-04-2020

Answer:

[tex]a=10.88\pi[/tex]

Step-by-step explanation:

using the formula below, the central angle is 20° (bc 360-180-160=20)

radius is 14 (28/2=14)

[tex]\frac{20}{360} =\frac{a}{\pi r^2} \\ \frac{1}{18} =\frac{a}{\pi 14^2}[/tex]

[tex]\frac{1}{18} =\frac{a}{196\pi}[/tex]

[tex]a=\frac{1*196\pi}{18} \\a=1*10.88\pi\\a=10.88\pi[/tex]

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