Given a right triangle with angles measuring , , and , what is the measure of the smallest angle?
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
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
A circle has a radius of inches and a central angle of . What is the approximate length of the arc subtended by this angle? Choose the closest value.
A
in.
B
in.
C
in.
D
in.
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Verified step by step guidance1
Recall the formula for the length of an arc \(s\) in a circle, which is given by \(s = r \times \theta\), where \(r\) is the radius and \(\theta\) is the central angle in radians.
Identify the given values: the radius \(r = 10\) inches and the central angle \(\theta = 3\) radians.
Substitute the given values into the arc length formula: \(s = 10 \times 3\).
Multiply the radius by the angle to find the arc length: \(s = 30\) inches (this is the exact value before approximation).
Compare the calculated arc length with the provided options to choose the closest value.
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