How to Solve Angles and Angle Measure? (+FREE Worksheet!)
Learn how to convert degrees to radians or radians to degrees by following a step-by-step guide.
Related Topics
- How to Evaluate Trigonometric Function
- How to Find Missing Sides and Angles of a Right Triangle
- How to Solve Coterminal Angles and Reference Angles
- How to Solve Trig Ratios of General Angles
Step by step guide to solve angles and angle measure problems
- To convert degrees to radians, use this formula: \(\color{blue}{Radians = Degrees \ × \frac{π}{180}}\)
- To convert radians to degrees, use this formula: \(\color{blue}{Degrees =Radians ×\frac{180}{π}}\)
Angles and Angle Measure – Example 1:
Convert \(120\) degrees to radians.
Solution:
Use this formula: \(Radians\) \(=\) \(Degrees\) \(×\frac{π}{180}\)
Radians \(=120×\frac{π}{180}=\frac{120π}{180}=\frac{2π}{3}\)
The Absolute Best Books to Ace Pre-Algebra to Algebra II
Angles and Angle Measure – Example 2:
Convert \(\frac{\pi}{3}\) to degrees.
Solution:
Use this formula: \(Degrees\) \(=\) \(Radians\) \(×\frac{180}{π}\)
Radians \(=\frac{π}{3}×\frac{180}{π}=\frac{180π}{3π}=60\)
Angles and Angle Measure – Example 3:
Convert \(150\) degrees to radians.
Solution:
Use this formula: \(Radians\) \(=\) \(Degrees\) \(×\frac{π}{180}\)
Radians \(=150×\frac{π}{180}=\frac{150π}{180}=\frac{5π}{6}\)
The Best Book to Help You Ace Pre-Algebra
Angles and Angle Measure – Example 4:
Convert \(\frac{2π}{3}\) to degrees.
Solution:
Use this formula: \(Degrees\) \(=\) \(Radians\) \(×\frac{ 180}{ π }\)
Radians \(=\frac{2π}{3}×\frac{180}{π}=\frac{360π}{3π}=120\)
Exercises for Solving Angles and Angle Measure
Convert each degree measure into radians and convert each radian measure into degrees.
- \(\color{blue}{-150^\circ}\)
- \(\color{blue}{420^\circ}\)
- \(\color{blue}{300^\circ}\)
- \(\color{blue}{\frac{5π}{9}=}\)
- \(\color{blue}{-\frac{π}{3}=}\)
- \(\color{blue}{\frac{13π}{6}=}\)
ِِِِDownload Angles and Angle Measure Worksheet
- \(\color{blue}{-\frac{5π}{6}}\)
- \(\color{blue}{\frac{7π}{3}}\)
- \(\color{blue}{\frac{5π}{3}}\)
- \(\color{blue}{100^\circ}\)
- \(\color{blue}{-60^\circ}\)
- \(\color{blue}{390^\circ}\)
The Greatest Books for Students to Ace the Algebra
Related to This Article
More math articles
- CLEP College Math FREE Sample Practice Questions
- FREE 5th Grade PSSA Math Practice Test
- SSAT Lower Level Math FREE Sample Practice Questions
- GED Testing Accommodations and Support for Students with Disabilities
- The Ultimate 6th Grade MCAP Math Course (+FREE Worksheets)
- What are the four Branches of Mathematics?
- SAT Math Practice Test Questions
- The 5 Best Computers For College Students
- How to Divide Polynomials Using Synthetic Division?
- The Ultimate AFOQT Math Course (+FREE Worksheets & Tests)
What people say about "How to Solve Angles and Angle Measure? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.