Trigonometry (MindTap Course List)

10th Edition

ISBN: 9781337278461

Author: Ron Larson

Publisher: Cengage Learning

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A circle has a radius of 27 inches. Find the length of the arc intercepted by a central angle of160 .

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In order to make a conical duct, a circular sheet of metal is to be cut in the shape of a sector of a circle. If the radius of the sector is 28.5 in. and the arc length of the of the sector is 26.4 in., what are the central angle, , and area of the sector?

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The central angle corresponding to a circular brake shoe measures 60. To two decimal places how long is the curved surface of the brake shoe if the length of the radius is 7 in.

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Suppose that a circle is divided into three congruent arcs by points A,B, and C. What is the measure of each arc? What type of figure results when A,B, and C are joined by line segments?

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Holes are to be drilled in the length of angle iron as shown in Figure 38-1. What is thedistance between two consecutive holes?

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A company logo on the side of a building shows an isosceles triangle with an inscribed circle. If the sides of triangle measure 10 ft, 13 ft and 13 ft, find the length of the radius of the inscribed circle.

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If two ships are 70 nautical miles apart on the ocean, what is the great circle distance between them in radians?

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An exit ramp from one freeway to another freeway forms a 900 arc of a circle. The ramp is scheduled for resurfacing. As shown, its inside radius is 370 ft, and its outside radius is 380 ft. What is the area of the ramp to the nearest integer?

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Suppose that a circle is divided by points A,B,C, and D into four congruent arcs. What is the measure of each arc? If these points are joined in order, what type of quadrilateral results?

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