Question

Convert to degrees 11pi/15
a.)66
b.)132
c.)528
d.)264
would the answer be 528 or 264

Answer 1

How did you get to them?

Answer 2

Just so I know what process you're trying to use.

Answer 3

To convert use: 180/pi

Answer 4

those two answer seem to be right to me because, the others are too low @theEric

Answer 5

\[\frac{11 \pi}{5}* \frac{180}{\pi}\]

Answer 6

its a trap

Answer 7

don't belive luigi

Answer 8

*15

Answer 9

Here's a good way to think about it. A full circle is a full circle. Using a substitution, \(2\pi\) radians is \(360^\circ\). Mathematically,\[2\pi\ [radians]=360^\circ\]\[\qquad\Downarrow\]\[1=\frac{360^\circ}{2\pi\ [rad]}=\frac{180^\circ}{\pi\ [radians]}\]

So you can convert like that.

I think the 5 is supposed to be a 15 according to the question! Right? That gives you B.

Answer 10

See how I did that, @arria ?

Answer 11

If you ever forget what to do, remember that a circle is a circle. Then you can convert!

Answer 12

@Jack174 why are you putting me down mam?

Answer 13

when you covert do you always use 360 because of the circle @theEric

Answer 14

@arria use 180..

Answer 15

thanks i already have the answer @Luigi0210

Answer 16

\[\frac{11\cancel\pi}{15}\frac{180^\circ}{\cancel\pi\ [rad]}\]
Yeah, @arria . The trick is in the converting. See,
\(2\pi\ [radians]=360^\circ\) always, right? That's just two different units for measuring angles, where\(2\pi\) radians is a full circle and \(360^\circ\) is a full circle.

So \(2\pi\ [radians]=360^\circ\), or \(\pi\ [radians]=180^\circ\) after dividing both sides by \(2\) to make it simple.

Answer 17

So, when you convert, you can use \(\Large \frac{360^\circ}{2\pi\ [rad]}\), or \(\Large \frac{180^\circ}{\pi\ [rad]}\)

Just notice you make the units cancel!
\[\frac{11\pi}{15}\ \cancel{[rad]}\times\frac{360^\circ}{2\pi\ \cancel{[rad]}}=132^\circ\]

Answer 18

And just remember how I got to the conversion, \(2\pi\ [radians]=360^\circ\).

Because it will also get you to \(\Large\frac{2\pi\ [radians]}{360^\circ}\large =1\).

And multiplying by \(1\) doesn't change the value, which is why the conversion works.

Any questions at all, @arria ?