Given the polar curve , what is the area enclosed by one loop of the curve?
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
7. Non-Right Triangles
Area of SAS & ASA Triangles
Multiple Choice
If the sum of the interior angles of a polygon is , how many sides does the polygon have?
A
B
C
D
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Verified step by step guidance1
Recall the formula for the sum of the interior angles of a polygon with \(n\) sides: \(\text{Sum of interior angles} = (n - 2) \times 180^\circ\).
Set up the equation using the given sum of interior angles: \((n - 2) \times 180 = 3420\).
Divide both sides of the equation by 180 to isolate \((n - 2)\): \(n - 2 = \frac{3420}{180}\).
Calculate the right side to find the value of \((n - 2)\) (do not compute the final number here, just express the step).
Add 2 to both sides to solve for \(n\): \(n = \left(\frac{3420}{180}\right) + 2\).
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