Math Problem Statement
Certain positive angles are marked in the given figure. Find the corresponding radian or degree measures.
Solution
From the image, it looks like you're working on converting angles between radians and degrees.
Let's break down each part of the problem:
-
Given conversion for 60°:
- radians.
- This is a known conversion. The relationship between degrees and radians is:
-
Next step, converting radians to degrees:
- To convert radians to degrees, use: So, radians equals , which matches the provided answer.
-
Final question, converting radians to degrees:
- Applying the same formula: So, radians equals .
Would you like more details or have any other questions?
Here are five related questions to consider:
- How do you convert degrees to radians?
- What is the general formula for converting between degrees and radians?
- Can you convert to radians?
- What is the radian measure of a full circle (360°)?
- How would you convert radians into degrees?
Tip: Always remember the conversion factor to switch between degrees and radians.
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Math Problem Analysis
Mathematical Concepts
Angle Conversion
Radians
Degrees
Formulas
radians = degrees × (π / 180)
degrees = radians × (180 / π)
Theorems
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Suitable Grade Level
Grades 9-12