Angle and Complete Sentences
1. Using complete sentences, define and compare radian measure to degree measure.
In doing so, be sure to answer each of the following questions:
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When would degree measure be appropriate?
●
When would radians be a better choice?
●
What are the pros and cons of each?
Degrees are a form of measuring an angles rotation. The radian measure is the angle that is at the center of the circle. It is also equal to the ratio of the length of the enclosed arc to the length of the circle’s radius. Angles can be measured in both radians and degrees. Radians require a lot more mathematical work in comparison to using degrees.
Be sure to follow the guidelines and safety precautions for completing internet searches.
1. Adam and Beth are visiting an amusement park and have decided to ride the carousel. Adam picked a horse on the outside edge and Beth chose a dragon on the inside, closer to the center.
Part 1: Do Adam and Beth travel the same distance during the ride? Choose a distance that each seat (horse and dragon) sits from the center and use the radius to determine how far each would travel during one rotation.
Adam’s Distance from Center: 14 ft
Circumference: 87.92ft
Beth’s distance from center: 7ft circumference: 43.96
Conclusion: Adam and Beth do do not travel the same distance. Adam travels farther because his seat is farther from the center.
Part 2: Choose an angle of rotation. Using complete sentences, compare the distance Adam and Beth will travel during this angle measurement.
Angle of rotation: 90 degrees, pi/2
Adam: pi/2 * 14=21.98 ft; he travels 66 less feet in this than a normal rotation
Beth: pi/2 * 7= 10.99ft; she travels 33 less feet in this than a normal rotation.
Part 3: Using complete sentences, describe which position you would prefer and why.
In this situation, I would want to sit in Adam’s spot. They were both on the same ride, but Adam got more out of it as a whole.
1. Robbie the Robot is on a weather
In doing so, be sure to answer each of the following questions:
●
When would degree measure be appropriate?
●
When would radians be a better choice?
●
What are the pros and cons of each?
Degrees are a form of measuring an angles rotation. The radian measure is the angle that is at the center of the circle. It is also equal to the ratio of the length of the enclosed arc to the length of the circle’s radius. Angles can be measured in both radians and degrees. Radians require a lot more mathematical work in comparison to using degrees.
Be sure to follow the guidelines and safety precautions for completing internet searches.
1. Adam and Beth are visiting an amusement park and have decided to ride the carousel. Adam picked a horse on the outside edge and Beth chose a dragon on the inside, closer to the center.
Part 1: Do Adam and Beth travel the same distance during the ride? Choose a distance that each seat (horse and dragon) sits from the center and use the radius to determine how far each would travel during one rotation.
Adam’s Distance from Center: 14 ft
Circumference: 87.92ft
Beth’s distance from center: 7ft circumference: 43.96
Conclusion: Adam and Beth do do not travel the same distance. Adam travels farther because his seat is farther from the center.
Part 2: Choose an angle of rotation. Using complete sentences, compare the distance Adam and Beth will travel during this angle measurement.
Angle of rotation: 90 degrees, pi/2
Adam: pi/2 * 14=21.98 ft; he travels 66 less feet in this than a normal rotation
Beth: pi/2 * 7= 10.99ft; she travels 33 less feet in this than a normal rotation.
Part 3: Using complete sentences, describe which position you would prefer and why.
In this situation, I would want to sit in Adam’s spot. They were both on the same ride, but Adam got more out of it as a whole.
1. Robbie the Robot is on a weather