Question

the five degree measures for five angles are 30, 40, 35, 50, and 55 degrees. find the median angle measure. change it to radians. round your answer to the nearest hundredth

Answer 1

The answer to this in the test yourself is 0.70 and that is correct. Here is how you do it-

30, 35, 40, 50 55
The median or midpoint of these values is 40.

The equation to convert degrees to radians is (radians)=(degrees*pi)/180
So x=40pi/180.
When you calculate this, you get 0.698, which rounds to 0.70.

Answer 2

The measure of median angle is 0.700 radians.

Explanation:

Given :

The five degree measures for five angles are 30, 40, 35, 50, and 55 degrees.

To Find : Median angle measure and change it to radians.

Solution :

First Arrange the angles in increasing order :

30°, 35°, 40°, 50°,55°

Now we know that the median is the midpoint of given values or mid value.

So, median of these angles is 40°

Now we are supposed to covert it into radians

Formula:
`x^(\circ) *(\pi)/(180^(\circ))`

x = given angle

So, 40° in radians will be :

`40°^(\circ) *(\pi)/(180^(\circ))`

Taking
`\pi =3.14`

`40°^(\circ) *(3.14)/(180^(\circ))`

`0.69777777777`

So, median angle in radians = 0.69777777777 ≈ 0.700

Thus the measure of median angle is 0.700 radians.