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Find the degree measure of the angle with the given radian measure.$$1.2$$...

Question

Find the degree measure of the angle with the given radian measure.$$1.2$$

Find the degree measure of the angle with the given radian measure. $$1.2$$



Answers

From Radians to Degrees Find the degree measure of the angle with the given radian measure.
$-1.2$

So this is problem. 20 foreign section 5.1. Andi, we are tasked with converting 3.4 radiance in two degrees on DH. To do this to make it a little bit easier for ourselves, we're going to convert 3.4 in terms of pie on DH. To do that, we'll go ahead and divide bye bye. And this will give us 1.808 to 2. Excuse me, uh, times pi. And just to make sure, you can actually multiply this out and you'll get back to 3.4. So from here, we're going to use our conversion factor, and we're going to multiply by 1 80 degrees. Um, and I'll put units on this. Just make it easier over pi radiance. These two will cancel out s. So then it's won 1.8 to 2 times 180 degrees, and that will get us 1 94 0.8 degrees

So this is problem 28 in section 5 50.1 on were tasked with finding 13 pi over 12. Ah, in degrees. And to do this, we're going to use our conversion factor, which is 180 degrees over pi uh, radiance. And this is in radiance as well. And so the pie radiance will cancel out with the other pyre. Etienne's on DH. Then we're just multiplying negative 13 over 12 times 1 80 which is going to equal up to 1 95 degrees.

Here. We have to find a good agreement. Sure. Off the under the given braiding my sure off. A minus one point. Two readings. Now, by definition, readings is a length of the ark off a circle. But radios one that substance. The angle at its centre to convert. Ready measure two degrees. We have to multiply by 1. 80. But by so minus 1.2 readings zero to minus 1.2. You do 1. 18. Did not I? That is ignited. Minus 216 divided by by. So if we substitute hayride you by get 216. The mother about three point running for is it Plato? 68 point eight? Approximately This approximately weirdo. What is minus it stayed. Did Direct's

So when converting degrees 72 degrees into radian measures, we're multiplied by a version of one that will allow us to change the units. So we need to get rid of the degrees. We need an equivalent fraction equal to the number of radiance. I know that pie radiance is equivalent to 180 degrees. So 72/1 times pi over 1 80 equals 72. There's the degree symbols cancel high over 1 80 72/1 80 will simplify to two fits. Therefore, the radiant measure for 72 degrees is too.


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