Section 5.1 - Angles and their Measure.pdf - Section 5.1 – Angles and their Measures Objective Students will be able to find degree and radian

# Section 5.1 - Angles and their Measure.pdf - Section 5.1...

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Section 5.1 Angles and their Measures Objective: Students will be able to find degree and radian measures, determine co-terminal angles, compute arc length of a sector of a circle, and compute the area of a sector of a circle. I. Find Degree Measure An angle is formed by rotating a ray about its endpoint. Initial side of the angle is the starting position of the ray. Terminal side of the angle is the final position of the ray. Vertex of the angle is the common endpoint, often named by a capital letter such as 𝐴 . An angle is in standard position if its vertex is at the origin in the ?? -plane, and its initial side is the positive ? -axis. The measure of an angle quantifies the direction and amount of rotation from the initial side to the terminal side. The measure of an angle is positive if the rotation is counterclockwise. The measure of an angle is negative if the rotation is clockwise. A degree is one way to measure an angle. One full rotation of a ray about its endpoint is 360 degrees, denoted 360° . Therefore,

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