dancediva9
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  • 04-07-2016
  • Mathematics
contestada

Find the measure of the central angle with a radius of 18 inches and the area of a sector measuring 162π square inches

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Аноним Аноним
  • 04-07-2016
1)we calculate the area of the circle
area of a circle=r²π

Data:
radius=18 in

area of this circle=(18 in)²π=324π in².

2)we calculate the measure of the central angle with area equal 162π in².

324π in²----------------------360º
162π in²----------------------  x

x=(162π in² * 360º) / 324π in²=180º

Answer: 180º.
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