If an angle in standard position has its terminal side passing through the point on the unit circle, what is the measure of angle in degrees?
Table of contents
- 0. Review of College Algebra4h 43m
- 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
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
1. Measuring Angles
Angles in Standard Position
Multiple Choice
A regular decagon has all its interior angles equal. What is the measure of each interior angle of a regular decagon? Choose the correct answer.
A
B
C
D
0 Comments
Verified step by step guidance1
Recall that a regular polygon has all sides and all interior angles equal. For any polygon with \(n\) sides, the sum of the interior angles is given by the formula: \(\text{Sum of interior angles} = (n - 2) \times 180^\circ\).
Identify the number of sides of the polygon. Since the problem states a regular decagon, it has \(n = 10\) sides.
Calculate the sum of all interior angles of the decagon by substituting \(n = 10\) into the formula: \((10 - 2) \times 180^\circ\).
Since the decagon is regular, each interior angle is equal. To find the measure of each interior angle, divide the total sum of interior angles by the number of sides: \(\frac{(10 - 2) \times 180^\circ}{10}\).
Simplify the expression to find the measure of each interior angle of the regular decagon.
Related Videos
Related Practice
Multiple Choice

