In Exercises 35–40, convert each angle in radians to degrees. ...

Question

In Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places. 2 radians

Accepted Answer

Hey, everyone in this problem, we're asked to write the angle given below in degrees and to express the answer to two decimal places. And we're given an angle of six radiant. Now we have four answer choices. Option A 0.10 degrees, option B 0.11 degrees, option C 343.76 degrees. And option D 343.77 degrees. So what we're given is six radiant and we wanna know what this is equal to in degrees and we're gonna call that value X. So we have six radiant is equal to X. Now we're doing a conversion like this, we wanna think about the relationship between degrees and radiance. OK? And we know that pi radiance is going to be equal to 180 degrees. So what we're gonna do is create two ratios, OK? The ratio of the angle we're given six radiant divided by pi radiance, it's gonna be equal to the ratio of the angle in degrees X divided by 180 degrees. OK? Because we know that five radiance is equivalent to 180 degrees. So if we put those in the denominator, that means that the numerators must be equal as well, they must be equivalent. And we want to solve for X, we're gonna multiply both sides by 180 degrees. We have that X is equal to six divided by pi K. The unit of radiant divides oh multiplied by 180 degrees. We can simplify this in round to two decimal places. We get that this is equal to 343.77 degrees. Now, if we compare this to our answer choices, we found that our angle of six radiant is equivalent to 343.77 degrees, which corresponds with answer choice. D Thanks everyone for watching. I hope this video helped you in the next one.

In Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places. 2 radians

Key Concepts

Radian Measure

Degree Measure

Conversion Between Radians and Degrees

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