12 2 practice angles and angle measure answer key
Radian Measure and Degrees
Algebra 2 12-2 Angles and Angle Measureand season episode for how
PERIOD ______. Chapter Glencoe Algebra 2. Practice. Angles and Angle Measure. Draw an angle with the given measure in standard position. 1.
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A golfer swings to hit a ball over a sand trap and onto the green. An airline pilot maneuvers a plane toward a narrow runway. A dress designer creates the latest fashion. What do they all have in common? They all work with angles, and so do all of us at one time or another. Sometimes we need to measure angles exactly with instruments.
Well, radian measure is just a different way of talking about the circle. Radian measure is just different unit of measure. Just as we can measure a football field in yards or feet -- we can measure a circle in degrees like the good old days or in radians welcome to the big leagues! Think about what the word radian sounds like It turns out that a radian has a close relationship to the radius of a circle. Definition of radian: a radian is the measure of an angle that, when drawn as a central angle of a circle, intercepts an arc whose length is equal to the length of the radius of the circle.
A protractor is required to directly calculate the measure of an angle, but you can use geometric properties of triangles to make an indirect measure of the angle. Use the sine formula to infer the measure of the angle from the distance between two points along the angle's lines a certain distance from the angle's origin. Use the ruler to measure a specific distance along both sides of the angle from the angle's origin the same distance along both sides , and label this distance "d. Use the ruler to measure the exact distance between the two points on the angle. Label this distance "e. This formula is derived from the equation for the sine given the measures of a right triangle's sides: The sine of the angle is equal to the length of the side opposite the angle divided by the length of the triangle's hypotenuse.
Radians and Degrees
Measure and classify an angle
A line that has one defined endpoint is called a ray and extends endlessly in one direction. A ray is named after the endpoint and another point on the ray e. The angle that is formed between two rays with the same endpoint is measured in degrees. The point is called the vertex. In algebra we used the coordinate plane to graph and solve equations. You can plot lines, line segments, rays and angles in a coordinate plane. You can use the coordinate plane to measure the length of a line segment.