anonymous
  • anonymous
WILL BECOME A FAN AND GIVE MEDAL FOR BEST ANSWER!!!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Determine how many slices you will cut your 17'' pizza into. You need to pick two different numbers of slices. Once you have determined the number of slices, calculate the following for both ways of cutting your pizza: •the interior angle and arc length of the slices •the area of each slice
anonymous
  • anonymous
eat it easier !
anonymous
  • anonymous
@KingGeorge

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anonymous
  • anonymous
@radar
anonymous
  • anonymous
@ganeshie8
anonymous
  • anonymous
@RadEn
anonymous
  • anonymous
@Eyad
anonymous
  • anonymous
First of all,you should know some Basics rules in order to solve it: Area of a circle is \(\Large A=\pi \times r^2\) And Asector =Asigmant +Atriangle
anonymous
  • anonymous
OK
anonymous
  • anonymous
Now ,Moving to the first part of the question . He is asking for the number of slices ,related to math ==>Sectors are similar to "pizza pie slices" of a circle <=== So Area of the sectors of the circle is : Semi Circle \(\Large A=\frac{1}{2} \pi r^2\) Quarte circle \(\Large A=\frac{1}{4} \pi r^2\) Any Sector \(\Large A=\frac{n}{360} \pi r^2\) Something to notice that when finding the area of a sector, you are actually finding a fractional part of the area of the entire circle. The fraction is determined by the ratio of the central angle of the sector to the "entire central angle" of 360 degrees, or by the ratio of the arc length to the entire circumference.
anonymous
  • anonymous
so divide the number of slices by 360?
anonymous
  • anonymous
|dw:1370100096799:dw| So yes
anonymous
  • anonymous
My radius would be half the diameter right?
anonymous
  • anonymous
yes d=r^2
anonymous
  • anonymous
so if I have a 17 inch diameter, what would I plug into the formula?
anonymous
  • anonymous
That was the basics things .. Let's move to the point ..We know that a circle has 360 degrees inside. 3 equal slices, so 360/3 = 120 degrees for each slice. Then, to find a arc length of each slice, we can use the little formula we are going to invent by ourselves, Circonference divided by Number of slice = Arc length of each slice \[\Large 2 \pi 17=28 \pi \] Apply the previous formula and get the arc length
anonymous
  • anonymous
for da last part i will pass :)
anonymous
  • anonymous
I got 8.83 for the area of the sector
anonymous
  • anonymous
Can you check that first. I did 17/360\[3.14\]rsquared
anonymous
  • anonymous
That was the basics ,now you have 3 equal slices ,move to the next point
anonymous
  • anonymous
What do u mean 3 equal slices, I had 17 slices in total??
anonymous
  • anonymous
17 is the diameter . 3 is the number of slices
anonymous
  • anonymous
Oh wait I gotta redo my calculations then hold on
anonymous
  • anonymous
ok I got 1.57 for the area now
anonymous
  • anonymous
Can you lease check this
anonymous
  • anonymous
before we move on

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