NOTEBOOK SHEET 1 (ANGLE CONVERSIONS SUMMARY)
Angle Conversions Core Reference
Fundamental Reference Formulas:
180° = π rad
1° = π / 180 rad 1 rad = 180° / π
Conversion Summary Table
No. Convert Radian into Degree Convert Degree into Radian
(i) π rad = 180° 30° = 30(π/180) = π/6
(ii) π/2 rad = 90° 60° = 60(π/180) = π/3
(iii) π/6 rad = 30° 90° = 90(π/180) = π/2
(iv) π/4 rad = 45° 45° = 45(π/180) = π/4
(v) π/8 rad = 22.5° 120° = 120(π/180) = 2π/3
(vi) 3π/5 rad = 108° 150° = 150(π/180) = 5π/6
(vii) 3π/2 rad = 270° 135° = 3π/4 rad
Sheet 1
, NOTEBOOK SHEET 2 (RADIAN TO DEGREE DERIVATIONS)
Detailed Radian to Degree Conversions
Demonstrating full fractional division cancellations:
Example (i):
π/2 × (180° / π) = 90°
Alternative Form:
1/2 × 180° = 90°
Example (ii):
π/6 × (180° / π) = 30°
Alternative Form:
1/6 × 180° = 30°
Example (iii):
π/4 × (180° / π) = 45°
Example (iv):
π/8 × (180° / π) = 22.5°
Sheet 2
Angle Conversions Core Reference
Fundamental Reference Formulas:
180° = π rad
1° = π / 180 rad 1 rad = 180° / π
Conversion Summary Table
No. Convert Radian into Degree Convert Degree into Radian
(i) π rad = 180° 30° = 30(π/180) = π/6
(ii) π/2 rad = 90° 60° = 60(π/180) = π/3
(iii) π/6 rad = 30° 90° = 90(π/180) = π/2
(iv) π/4 rad = 45° 45° = 45(π/180) = π/4
(v) π/8 rad = 22.5° 120° = 120(π/180) = 2π/3
(vi) 3π/5 rad = 108° 150° = 150(π/180) = 5π/6
(vii) 3π/2 rad = 270° 135° = 3π/4 rad
Sheet 1
, NOTEBOOK SHEET 2 (RADIAN TO DEGREE DERIVATIONS)
Detailed Radian to Degree Conversions
Demonstrating full fractional division cancellations:
Example (i):
π/2 × (180° / π) = 90°
Alternative Form:
1/2 × 180° = 90°
Example (ii):
π/6 × (180° / π) = 30°
Alternative Form:
1/6 × 180° = 30°
Example (iii):
π/4 × (180° / π) = 45°
Example (iv):
π/8 × (180° / π) = 22.5°
Sheet 2
