help, ill give you a medal, and if you can explain it that would be wonderful !

An angle measure of 234 degrees is equivalent to ____ radians. Round your answer to the nearest hundredth when necessary.

Question

help, ill give you a medal, and if you can explain it that would be wonderful !

An angle measure of 234 degrees is equivalent to ____ radians. Round your answer to the nearest hundredth when necessary.

lilcathyx · Answer

dont i have to use the equation$$2\pi(x) \over 360 $$

lilcathyx · Answer

@pooja195 @haleyelizabeth2017 :O ?

anonymous · Answer

I will help u if I can

haleyelizabeth2017 · Answer

I'm not sure...sorry!

anonymous · Answer

im not sure either about this one.

lilcathyx · Answer

@saynabahmed13 please :) & its okkay @strawberryswing @haleyelizabeth2017

anonymous · Answer

Well, you are correct. basically by doing $\frac{\text{angle}^\circ}{360^\circ}$ you get the factor of 'how much of the circle this angle takes'. for example $180^\circ$ will end up in $\frac{1}{2}$ and $360^\circ$ will end up in $1$.
Now by saying that a full circle would be $2\pi$ radians (because the radius of a circle fits exactly $2\pi$ times in the perimeter you can multiply it by the factor above and find out how many times the radius fits in the part of circle the angle describes.
$$
\frac{\text{angle}^\circ}{360^\circ} \cdot 2\pi = \frac{\pi \cdot \text{angle}^\circ}{180^\circ}
$$

lilcathyx · Answer

234/ 360 x 2pi = pi x 234 / 180 ?

anonymous · Answer

yes, calculate 234/180, then multiply by pi and you're good =)

lilcathyx · Answer

234/180 = 1.3.....1.3 x 3.14 =4.082..

lilcathyx · Answer

4.082 is the answer ?

anonymous · Answer

https://www.google.co.il/search?q=pi*234%2F180&oq=pi*234%2F180&aqs=chrome..69i57j0.5351j0j7&sourceid=chrome&es_sm=122&ie=UTF-8 well 4.084 is closer but ye, 4.08 basically