Question

Which of the following are in correct order from greatest to least?

Answer 1

Given:

Four series of angles are given.

To Find:

Identify the series with the correct order from greatest to least.

Solution:

the correct order from greatest to least is what is shown in the fourth option, i.e.,

$330$

Calculation:

Now, we use the fact that

$\pi =180$

to calculate the values of

$\frac{\pi}{2}, \frac{2\pi}{3}, \frac{7\pi}{6}, \frac{5\pi}{3}$

So, we have

$\frac{\pi}{2} = 90\\\\\frac{2\pi} {3}=\frac{(2)(180)}{3} = 120\\\\ \frac{7\pi} {6}=\frac{(7)(180)}{6} = 210\\\\ \frac{5\pi} {3}=\frac{(5)(180)}{3} = 300$

Looking at the above values, we see that the correct order from greatest to least is what is shown in the fourth option, i.e.,

$330$

Answer 2

Answer:

Option 4. is the correct option.

Step-by-step explanation:

The given angles are π/2, 330°,5π/3, 7π/6, 2π/3.

we have to arrange these angle in decreasing order.

First we will convert these angles from radian to degree.

π/2 = 90°

5π/3 = 5×180/3 = 300°

7π/6 = 7×180/6 = 210°

2π/3 = 2×180/3 = 120°

and 330°

Now the decreasing order of the angles is

330°, 300°, 210°, 120°, 90°

Therefore 330°, 5π/3, 7π/6, 2π/3, π/2 is the correct answer.