Math Problem Statement
Fill in the table by selecting the correct answers for each conversion between degrees and radians.
Solution
This table involves converting between degrees and radians. I'll walk through the conversions:
-
From Degrees to Radians:
- Formula: radians=degrees×180π
-
From Radians to Degrees:
- Formula: degrees=radians×π180
Let me help you with each of these conversions.
Let's go through each question step-by-step:
-
Degrees to Radians (90°)
Using the formula:
radians=90×180π=2π
-
Degrees to Radians (45°)
radians=45×180π=4π
-
Degrees to Radians (30°)
radians=30×180π=6π
-
Radians to Degrees (π)
degrees=π×π180=180°
-
Radians to Degrees (3π)
degrees=3π×π180=60°
-
Radians to Degrees (5π)
degrees=5π×π180=36°
-
Degrees to Radians (18°)
radians=18×180π=10π
-
Degrees to Radians (12°)
radians=12×180π=15π
-
Radians to Degrees (9π)
degrees=9π×π180=20°
-
Radians to Degrees (12π)
degrees=12π×π180=15°
-
Degrees to Radians (9°)
radians=9×180π=20π
-
Radians to Degrees (18π)
degrees=18π×π180=10°
Would you like further explanations on any of these steps?