Flashcards
MTH108 - 5.1
Cards in this deck (15)
- 1angles
- 2Definition of Radian MeasureOne radian is the measure of the central angle of a circle subtended by an arc equal in length to the radius of the circle
- 3Co-terminal AnglesThus, many different angles have the same initial and terminal sides. Any two such angles are called coterminal angles
- 4Find Co-terminal Angles DegreesPositive: Add any positive integer 360 degrees (360,720,1080)
Negative: Add any negative integer 360 degrees (-360,-720,-1080) - 5Find Co-terminal Angles RadiansPositive: Add any positive integer of 2π degrees (2π, 4π, 6π)
Negative: Add any negative integer of -2π degrees (-2π, -4π, -6π) - 6convert radians to degrees
- 7convert degrees to radians
- 8Formula for the Length of a Circular Arc Standing Room Onlyarc of length on a circle of radius subtends a central angle of radian measure s = rθ
- 9s = rθbe sure to convert θ to radians
- 10Formula for circumference of a circleC = 2πr
- 11s = rθ vs C = 2πrif θ=2π, then the formula for the length of a circular arc becomes s =(2π)r , which is simply the formula for the circumference of a circle.
- 12Formula for the Area of a Circular Sector
- 13Assume the diameter of Earth is approximately 8,000 miles. If angle ACB has measure 1', then the distance between A and B is a nautical mile. Approximate the number of land (statute) miles in a nautical mile. (Round your answer to two decimal places.)
- 14A hexagon is inscribed in a circle. If the difference between the area of the circle and the area of the hexagon is 30 m2, use the formula for the area of a sector to approximate the radius r of the circle.
- 15The drive motor of a particular CD player is controlled to rotate at a speed of 190 rpm when reading a track 5.5 centimeters from the center of the CD. The speed of the drive motor must vary so that the reading of the data occurs at a constant rate.
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- Flashcards on MTH108 - 5.1, created by Bob Harold on 02/06/2020.
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- Bob Harold
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