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17-06-2016
Mathematics

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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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17-06-2016

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.

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