Section 2.1 Angles and Their Measure. Sub-Units of the Degree: “Minutes” and “Seconds” (DMS Notation)

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2.1 Angles and Their Measures

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Presentation transcript:

Section 2.1 Angles and Their Measure

Sub-Units of the Degree: “Minutes” and “Seconds” (DMS Notation)

Converting between DMS and Decimal Degrees: (By hand or using Calculator – See handout)

Radians

A few special angles (in degrees and corresponding radians)…

Arc Length of a circle

Find the length of the arc of a circle of radius 4 meters subtended by a central angle of 0.5 radian.

Area of a Sector of a circle

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.

Linear SpeedAngular Speed Linear Speed and Angular Speed

Application problems

Earth rotates on an axis through its poles. The distance from the axis to a location on Earth 40° north latitude is about miles. Therefore, a location on Earth at 40° north latitude is spinning on a circle of radius miles. Compute the linear speed on the surface of Earth at 40° north latitude.