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Mathematics 21 Online
OpenStudy (anonymous):

Is this right? I had to find the interior and arc length of a pizza I created with a diameter of 14 inches. Solved for the Pizza with 8 slices C= pi x d or C= pi x 14= 44 Circumference is 44 inches 44/8= 5.5 inches divided into 8 pieces 360/8= 45 Each angle is 45 degrees 45/360= 1/8 45/360(pd) 45/360 (px14) 0.125(14)(p) 1.75(pi)= 5.49 which rounds to 5.5 The interior angle is 45 degrees and the arc length is 5.5inches. Area for 8 sliced pizza Area of whole circle divided by 8 A= pi x r2/8 A= pi x 142/8 or = pi x 196/8 A= pi x 24.5= 77.07 in2

OpenStudy (unklerhaukus):

thats right

OpenStudy (anonymous):

thx

OpenStudy (unklerhaukus):

actually wait, you have use the diameter when you should have used the radius when finding the area

OpenStudy (anonymous):

I don't think I did any of this right actually because I just looked at my problem again and I actually have to find the interior angle and arc length of each slice of pizza for a 14in. pizza with 8 slices

OpenStudy (anonymous):

And then the area of each slice

OpenStudy (anonymous):

This is the entire question. Number of Slices Determine how many slices you will cut your 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 Please show your work for all calculations. Step 3: Delivery Radius Determine the delivery radius for your shop. Draw a point on a coordinate plane where your shop will be located. Create two different radii lengths from your shop, and construct the circles that represent each delivery area. •How much area will each delivery radius cover? •Write the equation for each circle created. Please show your work for all calculations.

OpenStudy (unklerhaukus):

\[\text{interior angle} = 360°/n\]\[C=2\pi r\qquad \text{arc}=\frac Cn=\frac{2\pi r}n\]\[A=\pi r^2\qquad a=\frac An=\frac{\pi r^2}n\]

OpenStudy (anonymous):

is that how I find the interior angle and area of each slice?

OpenStudy (anonymous):

...and arc length

OpenStudy (anonymous):

?

OpenStudy (unklerhaukus):

yeah

OpenStudy (anonymous):

ok umm what does "n" stand for... sorry im stupid

OpenStudy (unklerhaukus):

oh i was using n for the number of slices

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

\[interior \angle= 360degrees/8 = 45 degrees = the interior \angle of 1 slice of pizza\]

OpenStudy (anonymous):

is that right?

OpenStudy (unklerhaukus):

yeah if you have 8 slices yes

OpenStudy (anonymous):

is the arc length 1.75?

OpenStudy (anonymous):

and is the area of a slice 19.25??

OpenStudy (unklerhaukus):

i think you forgot to multiply the arc length by pi and yes, the area of the slice is 19.24,

OpenStudy (anonymous):

ok so do I just multiply 1.75 by pi?

OpenStudy (unklerhaukus):

yeah

OpenStudy (anonymous):

would it be 5.5?

OpenStudy (unklerhaukus):

yes it would

OpenStudy (anonymous):

ok thank you so much, I would give you a medal or whatever but I just created this account and I have no idea what I am doing. But again thank you so much !!

OpenStudy (dean.shyy):

This may help: http://is.gd/lvRal9

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