Math Problem Statement
Express: i. 22° in radians. ii. π/10 radians in degrees.
Solution
The image presents Question 5, which contains two parts:
- Convert 22° to radians.
- Convert radians to degrees.
Let's solve each part:
i. Convert to radians:
The formula to convert degrees to radians is: Substitute into the formula: So, is radians.
ii. Convert radians to degrees:
The formula to convert radians to degrees is: Substitute into the formula: So, radians is .
Final Answers:
- radians.
- radians = .
Would you like more details or have any questions?
Here are five related questions for practice:
- Convert to radians.
- What is radian in degrees?
- Convert radians to degrees.
- Convert to radians.
- How many radians are in a full circle (360°)?
Tip: Always remember that radians = 180°, which can help in quick conversions between degrees and radians.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Unit Conversion
Formulas
Radians = Degrees × (π / 180)
Degrees = Radians × (180 / π)
Theorems
Radians and Degrees Conversion
Suitable Grade Level
Grades 9-11