Question

Express the following angles in radians.

20∘ = ____
40∘ = _____
90∘ = _____
240∘ = _____

Answer 1

Angles in degrees can be converted to radians by multiplying by π/180. For example, 20° is π/9 radians, 40° is π/4.5 radians, 90° is π/2 radians, and 240° is 4π/3 radians.

Step-by-step explanation:

To convert the given angles from degrees to radians, we use the fact that 180 degrees is equal to π radians. Therefore, to convert degrees to radians, we multiply the degree measure by π/180.

• 20° = 20 * (π/180) = π/9 radians
• 40° = 40 * (π/180) = π/4.5 radians
• 90° = 90 * (π/180) = π/2 radians
• 240° = 240 * (π/180) = 4π/3 radians