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°

Question

Mathematics

Camron

14 July, 17:14

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°

+4

Answers (1)

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Johanna Romero · Answer 1

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.

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°

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°