Which of the following is a property of an angle in standard position on the coordinate plane?
Table of contents
- 0. Review of College Algebra4h 45m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
1. Measuring Angles
Angles in Standard Position
Multiple Choice
If the smallest angle of rotation for a regular polygon is , how many sides does the polygon have?
A
B
C
D
0 Comments
Verified step by step guidance1
Recall that the smallest angle of rotation for a regular polygon is the central angle of rotation that maps the polygon onto itself. This angle is given by the formula \(\theta = \frac{360^\circ}{n}\), where \(n\) is the number of sides of the polygon.
Given the smallest angle of rotation \(\theta = 18^\circ\), set up the equation \(18 = \frac{360}{n}\) to find the number of sides \(n\).
To solve for \(n\), multiply both sides of the equation by \(n\) to get \$18n = 360$.
Next, divide both sides by 18 to isolate \(n\): \(n = \frac{360}{18}\).
Simplify the fraction to find the number of sides \(n\) of the regular polygon.
Related Videos
Related Practice
Multiple Choice
66
views

