When to Use Radians versus Degrees

With great power comes great responsibility. Once students have learned that radians is another way to measure angles, they will need to know when it is appropriate to use radians versus degrees. This video shows you that it does matter, and gives you a few key tips for figuring out what angle measure to use for any given math problem.

[margaretmaher]

How is it possible I graduated with an engineering degree and I'm just now learning this 4 years post university. Mind blown. THANK YOU!

[el]

This really helped clarify, thank you!

[fiveprime]

Degrees are an arbitrary unit that makes directions easy because the numbers have been arbitrarily chosen for that purpose. Radians are a ‘natural’ unit in that they directly let you calculate the length or a circumference of a circle/arc (arc is a segment of a circle) from that radius. Radian is a ratio measurement of lengths like sine or cosine. So if you need lengths of circles or arcs it is easier to use radians (you won’t need a calculator). Otherwise you may find it easier to use degrees.

[DeathNight]

ive literally never done trig before and i have to learn all of this before the PSAT, thank you for making this. helped me a lot

[homail]

My man your explanation is awesome you removed my 5 hours confusion in 2 minutes

[michaelcui]

MY MAN FRED KONG THANKS BRO THIS HELPED ME SO MUCH ON MY SAT!!!!

[pizax]

phew I was close to taking PSAT and I didn’t know when to use radians and when to use degrees this was a lifesaver

[PandaHQ]

Hi, there! There's a problem in geometry. There's a figure shown of a right angled triangle where I need to find the area of triangle using the sine law. So doing that:

A
| \
| \
| \
| \
| \
5 | \
| \
| \
| \
| \
B
3

In degree mode: 1/2 * 5 (one side of the triangle) * 3 (the other side of the triangle) * sin(90)

Answer: 15/2

In radian mode: 1/2 * 5 (one side of the triangle) * 3 (the other side of the triangle) * sin(90)

Answer: 6.71

How do you know which one is the correct area and which mode should be used here?

[thcc_pineapple]

saved my ass 3 years after your upload. ty

[moneymo]

Rule of thumb: When you use trigonometric functions, then use radians. Otherwise, use degrees.

(Unless it is stated otherwise in the question).

[demirpoyrazelcin]

tf literally thank you so much probably this info will save my robotics final

[luatala]

V good video but I was hoping more explanation difference between degrees and radians

[artie]

Fred, in finding phase angle (in case of finding poles in filter systems) which has pi in formula, is the answer obtained will be radians or degree?
Phase=(pi/2)+(2k+1/2N)*pi
What should we consider answer as in degrees or in radians?

[anispinner]

Tldr when your friend is asking for a pizza slice, give him a radiant

[McLovinOffical]

real bossman. Wont help my impending mathematical doom tho

[shivsinha]

Thanks you sir, you made it really easy for me.

[MaxyTv]

Thank youu so much. This helped me a lot

[marifelmaglente]

THANKKKK THIS IS A GREAT HELP. I AM ALWAYS CONFUSE WITH WHEN TO USE RAD AND DEG HAHAHAHAHAH

[yprgjrz]

Sir why we use radian except degree in derivation of circle, s area with integration?

[tast]

When graphing a piecewise function, does that rule still apply