Math Problem Statement
Convert the radian measure to degrees.
22
...
Question content area right
Part 1
22
radian(s)equals=enter your response heredegrees°enter your response here'
(Round to the nearest minute.)
Solution
To convert radians to degrees, we use the following formula:
Given that the radian measure is 22 radians, the conversion becomes:
Let's calculate that.
To round to the nearest minute, we take the decimal part (.51), which represents the fraction of a degree. To convert that into minutes (since there are 60 minutes in a degree), we multiply:
So, rounding to the nearest minute, the result is approximately:
Final Answer:
22 radians ≈ 1260° 31'
Would you like more details on the steps, or have any questions about this? Here are some related questions to explore further:
- How do you convert from degrees back to radians?
- What is the relationship between radians and arc length in a circle?
- What are some practical applications of radians in real life?
- How do you convert other angle units, like gradians or mils, to degrees?
- What are the common errors in converting between radians and degrees?
Tip:
When converting between radians and degrees, always make sure you use the value of π as approximately 3.14159 for higher accuracy.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Trigonometry
Angle Conversion
Formulas
Degrees = Radians × (180°/π)
Theorems
Radian-degree conversion theorem
Suitable Grade Level
Grades 9-12