Chapter 03 Section 01

Chapter 03 Section 01 - r on a circle of radius r . In...

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Section 3.1 Angles and their measure A ray is the portion of a line AB  that starts at point A and continues infinitely in the direction of B , denoted AB  where A is the endpoint. An angle is formed by rotating a ray about its endpoint A. The endpoint A is called the vertex of the angle. If the ray is rotated in a counterclockwise direction it is said to have positive measure. If the ray is rotated in the clockwise direction it is said to have negative measure. On the coordinate plane we will place the vertex at the origin and the initial ray along the positive x-axis. Measuring Angles – Radians A radian is the angle that sweeps out an arc of length
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Unformatted text preview: r on a circle of radius r . In general, s r where is the angle measured in radians, s is the arc length, and r is the radius of the circle. Measuring Angles Degrees If the circle is divided into 360 arcs of equal length, the number of arcs intercepted by a central angle is the measure of the angle in degrees, denoted . A minute is 1/60 th of a degree. A second is 1/60 th of a minute. Coterminal angles - Conversion Factors: 1 degree = radians 180 180 1 radian = radians Radians Degrees Degrees, Minutes, Seconds 6 5 12 60 225 11 7 3 119 30 45 320 25 50...
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Chapter 03 Section 01 - r on a circle of radius r . In...

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