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5.1 Angles and Radian Measure. ANGLES Ray – only one endpoint Angle – formed by two rays with a common endpoint Vertex – the common endpoint of an angle’s.

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Presentation on theme: "5.1 Angles and Radian Measure. ANGLES Ray – only one endpoint Angle – formed by two rays with a common endpoint Vertex – the common endpoint of an angle’s."— Presentation transcript:

1 5.1 Angles and Radian Measure

2 ANGLES Ray – only one endpoint Angle – formed by two rays with a common endpoint Vertex – the common endpoint of an angle’s initial and terminal sides. -Vertex @ origin -Initial side lies along positive x-axis

3 QUADRANTS When in standard position, an angle’s terminal side lies in a quadrant.

4 Quadrantal Angle Not in a quadrant. Terminal side is on either the x- or y-axis.

5 MEASURING ANGLES USING DEGREES Acute Right Obtuse Straight

6 MEASURING ANGLES IN RADIANS One radian is the measure of the central angle of a circle that intercepts an arc equal in length to the radius of the circle.

7 Ex #1: RADIAN MEASURE

8 MEASURING ANGLES IN RADIANS One radian is the measure of the central angle of a circle that intercepts an arc equal in length to the radius of the circle.

9 Plus just a little bit more !

10 Radians and Degrees

11 CONVERSION

12 Ex #2-3

13 Drawing Angles in Standard Position

14

15 UNIT CIRCLE

16 FINDING COTERMINAL ANGLES

17 HOMEWORK Pg. 480 #1-55 odd + pg. 476 Checkpoint #5 (you’ll need to read Example 5 in order to do the checkpoint)


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