Question

Draw the angle given in degrees on the unit circle where 0 radians corresponds to the positive portion of the horizontal axis: -16pi/7

Answer 1

Step-by-step explanation:

1. First, you convert the given radians to degrees by multiplying it by 180/π

-(16π/7) x (180/π) = −411.42857142… ≈ -411°

2. Now you have your degrees for the given radian. All that is left to do is graph the degrees on a graph.

3. We already know that there are 360° in a whole complete circle, so that means that our -411° will accede that. If we were to graph it, it would complete a full circle plus he remaining it has. To find that, we subtract our degree by 360.

411- 360 = 51

4. Our degree consist of a whole negative resolution plus negative 51 degrees (-360°)+(-51°).

Answer: Our circle graph will look something like this:

Answer 2

Note that π radians = 180°.
Therefore
-(16π)/7 radians = - (16π)/7 * (180/π) degrees
= -155.5°

Because angles are measured from the x-axis counterclockwise, the given angle is
360 - 155.5 = 204.5°

The angle is drawn on a unit circle and shown in the figure below.
The angle of 204.5° is in quadrant 3.
The four quadrants are labelled as Q1, Q2, Q3 and Q4.