Math Problem Statement
Note: Give exact answers using fractions and/or multiples of pi as necessary.
a. Convert the following angles from degrees to radians. a1. 36o = radians a2. 60o = radians a3. 90o = radiansb. Write a general formula for converting an angle of x degrees into radians. Note: Do not include units in your formula. x degrees = radians
Solution
a. Convert the following angles from degrees to radians
The formula to convert degrees to radians is:
a1. :
Answer: radians
a2. :
Answer: radians
a3. :
Answer: radians
b. General formula for converting degrees into radians:
Let me know if you'd like further clarifications or details.
Here are some related questions for you to explore:
- Why is the factor used for converting degrees to radians?
- How would you convert radians back to degrees?
- What is the radian equivalent of ?
- What are the advantages of using radians over degrees in trigonometry?
- Can you derive the formula for arc length using radians?
Tip: Always remember that radians equals , which forms the basis for all degree-radian conversions!
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Math Problem Analysis
Mathematical Concepts
Angle Conversion
Radians
Degrees
Formulas
radians = degrees × (π / 180)
Theorems
Definition of Radian
Suitable Grade Level
Grades 9-10