Question

Which of the following statements is not true concerning radian​ measure? Select the correct choice below.

Answer 1

Answer:

B

Step-by-step explanation:

Let's examine and comment on each alternative.

A. An angle with a measure of $\frac{-5\pi }{3} rad$ which is equivalent to -300º, will be traced in a clockwise way. As shown in the picture below. So the endpoint stops in the Quadrant I. True

B. Since $\frac{-11\pi }{6}$ rad is also equivalent to -330º, it has a negative orientation which tells us that it will be traced in a clockwise way as well. But its endpoint will lie on Quadrant I. Not on Quadrant IV as the B affirms.

So the B item is False.

C. Keep in mind, that Radian is a unit of measurement taken when you have an arc subtended from a unit circle with arc length 1

As shown in the picture below. True

D. If you consider the 1 Circle and its circunference, which is 2$\pi$, (360º) we can just make this simple division:

$\frac{360}{2\pi } =\frac{180}{\pi }$ = 180º/3.1415.. ≅ 57.3º   True