please help me

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please help me

Mathematics
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@perl is familier with it! :-)
Very bad question. FAR too subjective. Measure the radial width of the crust vs. the total radius.

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@perl knows this
what is the radius of this pizza, or the diameter
it is 16 inches diameter
large
medium is 12 inches diameter
ya
and we need to cut off the top
yup
we can make a crude approximation we have an isosceles triangle
ok
Area of crust cut off = total area of sector - area of isosceles triangle
Area of sector = 1/6 * π r^2 , since we have 6 slices
Area of isosceles triangle, this is going to be an equilateral triangle , since the vertex angle is 360/6 = 60 , and the base angles are congruent
|dw:1432760771917:dw|
you can pick any of the 6 triangles, i just chose that one
ok
|dw:1432760838050:dw|
what is the radius?
|dw:1432760851340:dw|
radius = diameter / 2 = 8
https://www.google.com/search?q=area+of+equilateral+triangle&ie=utf-8&oe=utf-8
so the diameter is 16
sorry, diameter is twice the radius
radius is half the diameter
the area of crust cut off is 26.48.
AM i right
nope
Area of crust cut off = total area of sector - area of isosceles triangle A= 1/6*pi(8)^2 - 60
whats the formula for the area of an equilateral triangle with side `a` https://www.google.com/search?q=area+of+equilateral+triangle&ie=utf-8&oe=utf-8
27.71
A= 1/6*pi(8)^2 - √(3)/ 4 (8)^2
yes thats correct
ok I got it
the area of the segment cut off is 5.8
Am i right?
yes, but note that this an approximation, since a pizza crust can sometimes be thick We solved the 'ideal' problem
ok thanks :-)
this is what we found exactly http://prntscr.com/7a5bjm
if we cut it that way
so that cut approximates removing the crust
To find the isosceles, why did u divide 360/6
Since the triangle is 180
|dw:1432761628546:dw|
we have 6 angles, that add up to 360 degrees (in the center)
ohh
so thats how you get the vertex angle of a single triangle. then the base angles, you can use the fact that the triangle is isosceles (since the sides are the radius)
if the sides have the radius then it is isosceles
yes because all the radii are congruent
why are we using the equilateral triangle formula, why can't we use isosceles
ohh I got it. 60 is common
|dw:1432761994892:dw|
yup :-)
this isosceles triangle is a special case, its also equilateral
thanks i got
you should actually get infinite medals for this help
it is really understandable
|dw:1432762135339:dw|
ok
|dw:1432762254726:dw|
the base angles of an isosecles triangle are congruent. Therefore we have 60 + x + x = 180 60 + 2x = 180 2x = 120 x = 120/6 = 60 Now you know its an equilateral triangle , since all the angles are congruent
|dw:1432762385401:dw|
ok
thanks
I only need 5.8 answer. But, thanks for the work and made me understandable
I am fully confident now
:)

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