Question

Match the angle measurements in radians with equivalent measurements less than or equal to 360°. :

a. π/2 radians → 90°

b. π/3 radians → 180°

​c. 3π/2 radians → 270°

d. 2π radians → 360°

Answer 1

Radian measurements are matched to their equivalent in degrees: π/2 radians is 90°, π/3 radians is actually 60°, 3π/2 radians is 270°, and 2π radians is 360°.

Step-by-step explanation:

Match the angle measurements in radians with equivalent measurements less than or equal to 360°:

• a. π/2 radians → 90°
• b. π/3 radians is not equivalent to 180°. To convert radians to degrees, we multiply by 180/π. So, π/3 radians is 180/π × π/3 = 60°
• c. 3π/2 radians → 270°
• d. 2π radians → 360°