In a right triangle, one leg measures units and the other leg measures units. Find the length of the hypotenuse. If necessary, round to the nearest tenth.
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
2. Trigonometric Functions on Right Triangles
Solving Right Triangles
Multiple Choice
Given a circle with a circumference of , what is the radius of the circle?
A
B
C
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Verified step by step guidance1
Recall the formula for the circumference of a circle: \(C = 2 \pi r\), where \(C\) is the circumference and \(r\) is the radius.
Substitute the given circumference value into the formula: \(16 = 2 \pi r\).
To isolate \(r\), divide both sides of the equation by \(2 \pi\): \(r = \frac{16}{2 \pi}\).
Simplify the fraction: \(r = \frac{16}{2 \pi} = \frac{8}{\pi}\).
Interpret the result: the radius \(r\) is \(\frac{8}{\pi}\) units. If you need a numerical approximation, you can calculate this value using \(\pi \approx 3.14\).
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