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Convert Degrees to Radians
ANSWER KEY
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1. 90° = radians ≈ 1.571 radians
2. 60° = radians ≈ 1.047 radians
3. 180° = radians ≈ 3.142radians
4. 285° = radians ≈ 1.571 radians
5. 342° = radians ≈ 4.974 radians
6. -15° = radians ≈ -0.262 radians
7. 48° = radians ≈ 0.838 radians
8. 1085° = radians ≈ 18.937 radians
9. -640° = radians ≈ -11.170 radians
10. -344° = radians ≈ -6.004 radians
11. BONUS: Derive the formula for the conversion of degrees to radians.
= 180 or = 180*1°
therefore,
1° =
thus,
degree measure = radian measure *
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What to Learn Next
Practice Problems
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How to Convert Radians to Degrees:
12. radians = 90°
How to Convert Latitude and Longitude Units from Degrees to Decimal Forms
13. 60° 15’ 30” = 60.2583°
How to Memorize the Unit Circle