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

1 answer:

6 0

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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