In Exercises 29–34, convert each angle in degrees to radians. Rou...

Question

In Exercises 29–34, convert each angle in degrees to radians. Round to two decimal places.

-50°

Accepted Answer

Everyone in this problem, we're asked to write the angle given below in radiance and to round the answer to two decimal places. And we're given an angle of negative 70 degrees. We have four answer choices. Option A is 1.23 radiance. Option B negative 1.22 radiance, option C 1.22 radiance and option D negative 1.23 radiant. Now, this problem is a conversion problem. We have negative 70 degrees and we want to write this in terms of radiance. So we're gonna call the value in radiance. We're looking for X, we know that it's gonna be equivalent to negative 70 degrees, but we wanna convert this to radiance. OK? So this is like a unit conversion. We're converting from the unit of degrees to the unit of radiance. So we're gonna treat this the same way we would any other unit conversion. Now, let's recall, the pi radiance is equal to degrees. OK? So we have degrees in the numerator. We want to get rid of that unit of degrees. So we wanna divide by degrees. So what we're gonna do is we're gonna multiply the value we have by pi radiance divided by 180 degrees, OK? Because P radium is equal to 180 degrees. It's like we're multiplying by one, OK? Now the unit of degrees is gonna divide out, we're left with negative 70 divided by multiplied by pi radiance. And so X is going to be equal to negative 1.22 radiance and that's it for this problem. OK. We treated it just like a unit conversion. We found that negative 70 degrees is equivalent to negative 1. radiance which corresponds with answer choice. And B thanks everyone for watching. I hope this video helped.

In Exercises 29–34, convert each angle in degrees to radians. Round to two decimal places. -50°

Key Concepts

Degrees and Radians

Conversion Formula

Negative Angles

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