Question

Convert 450 degrees to radians.

a) π radians
b) 5π/2 radians
c) 4π radians
d) 2.5 radians

Answer 1

To convert 450 degrees to radians, multiply by π/180, resulting in 5π/2 radians. The correct multiple-choice answer is b) 5π/2 radians.

Step-by-step explanation:

To convert from degrees to radians, you use the conversion factor π radians equals 180 degrees. So to find how many radians are in 450 degrees, you set up the ratio:

(450 degrees) × (π radians / 180 degrees) = 2.5π radians

Therefore, the conversion of 450 degrees to radians is 2.5π radians, which can also be expressed as 5π/2 radians.

When selecting from the multiple-choice options given, the correct answer would be b) 5π/2 radians.