Converting Degrees to Radians

1) 45°

2) 120°

3) 180°

4) 1°

Solution:

1) We have 45° = (45)(π/180) = π/4 radians.

2) We have 120° = (120)(π/180) = 2π/3 radians.

3) We have 180° = (180)(π/180) = π radians.

4) We have 1° = (1)(π/180) = π/180 radians.

Converting Radians to Degrees

1) π

2) π/6

3) 3π/4

4) 1

Solution:

1) We have π radians = (π)(180/π) = 180°.

2) We have π/6 radians = (π/6)(180/π) = 30°.

3) We have 3π/4 radians = (3π/4)(180/π) = 135°.

4) We have1 radian = (1)(180/π) = 180/π degrees ≈ 57.3°.