Section 2.1 Angles and Their Measure
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Transcript of Section 2.1 Angles and Their Measure
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Section 2.1
Angles and Their Measure
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Sub-Units of the Degree: “Minutes” and “Seconds”(DMS Notation)
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(a) Convert 45 10'15" to decimal in degrees.
Round the answer to four decimal places.
(b) Convert 21.256 to the D M'S" form.
Round the answer to the nearest second.
Converting between DMS and Decimal Degrees:(By hand or using Calculator – See handout)
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Radians
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A few special angles (in degrees and corresponding radians)…
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Arc Length of a circle
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Find the length of the arc of a circle of radius 4 meters subtended by a central angle of 0.5 radian.
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Area of a Sector of a circle
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Find the area of the sector of a circle of radius 5 feet formed by an angle of 40°. Round the answer to two decimal places.
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Linear Speed Angular Speed
Linear Speed and Angular Speed
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Application problems
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Earth rotates on an axis through its poles. The distance from the axis to a location on Earth 40° north latitude is about 3033.5 miles. Therefore, a location on Earth at 40° north latitude is spinning on a circle of radius 3033.5 miles. Compute the linear speed on the surface of Earth at 40° north latitude.