Remember that angle measures in degrees and radians are based on the proportion of the angle to a complete circle, meaning a fraction of either 360° or 2π. Given that 360° = 2π, we can convert between degrees and radians. With this information in mind, set up a proportion and use it to convert an angle of 225° into radians.

Question

Mathematics

Adrienne

29 January, 21:54

Remember that angle measures in degrees and radians are based on the proportion of the angle to a complete circle, meaning a fraction of either 360° or 2π. Given that 360° = 2π, we can convert between degrees and radians. With this information in mind, set up a proportion and use it to convert an angle of 225° into radians.

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Kyson Joyce · Answer 1

Given that 360 degrees = 2pi

And you want to compute 225 degrees in to radians, let's assume the final answer is x

Then, 360 / 2pi = 225 / x

Solve for it, you will get x = 5pi/4