Question

Army
2. A group of armed forces personnel were surveyed. The branch of service was recorded in the chart below.
Branch of Service Number of Members
165
Navy
135
Marine Corps
60
Air Force
130
Coast Guard
10
What would the degree measure for the sector for the Navy be in a circle graph?
43.20
97.20
93.60
118.80

Answer 1

Answer:

97.2°

Step-by-step explanation:

yw

Answer 2

The degree measure for the sector for the Navy be in a circle graph is 118.80.

What is angle of a sector ?

"The angle of the sector is 360°, area of the sector, i.e. the Whole circle = πr2. When the Angle is 1°, area of sector = πr2/360° So, when the angle is θ, area of sector, OPAQ, is defined as; A = (θ/360°) × πr2."

Given here,

Navy = 165 members

Total members = 495

So, navy percentage in the circle is $\165*495/ 100 = 27.27$

And, angle of the sector of Navy is = $27.27*360/100$ = 118.80

Hence, option D is correct.

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