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Find the measure of the central angle with a radius of 13 inches and the area of a sector measuring 42.25π square inches. 45° 90° 120° 180°
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Dec 6, 2017
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Find the measure of the central angle with a radius of 13 inches and the area of a sector measuring 42.25π square inches.
45°
90°
120°
180°
Mathematics
high-school
Bruno Grieder
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Bruno Grieder
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Area of a sector: 1/2r^2 theta
Need theta
Let x be theta for now
42.25 pi = 1/2r^2x
84.5pi = r^2x
84.5pi = 169x
x = 84.5pi/169 = roughly 1.57 in radians
Radians => degrees is 1.57 * 180/pi or roughly 90.
Nizzy
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Dec 12, 2017
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Nizzy
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