Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (anonymous):

please help me

OpenStudy (anonymous):

OpenStudy (anonymous):

@perl is familier with it! :-)

OpenStudy (tkhunny):

Very bad question. FAR too subjective. Measure the radial width of the crust vs. the total radius.

OpenStudy (anonymous):

@perl knows this

OpenStudy (perl):

what is the radius of this pizza, or the diameter

OpenStudy (anonymous):

it is 16 inches diameter

OpenStudy (anonymous):

large

OpenStudy (anonymous):

medium is 12 inches diameter

OpenStudy (anonymous):

ya

OpenStudy (perl):

and we need to cut off the top

OpenStudy (anonymous):

yup

OpenStudy (perl):

we can make a crude approximation we have an isosceles triangle

OpenStudy (anonymous):

ok

OpenStudy (perl):

Area of crust cut off = total area of sector - area of isosceles triangle

OpenStudy (perl):

Area of sector = 1/6 * π r^2 , since we have 6 slices

OpenStudy (perl):

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

OpenStudy (perl):

|dw:1432760771917:dw|

OpenStudy (perl):

you can pick any of the 6 triangles, i just chose that one

OpenStudy (anonymous):

ok

OpenStudy (perl):

|dw:1432760838050:dw|

OpenStudy (anonymous):

what is the radius?

OpenStudy (perl):

|dw:1432760851340:dw|

OpenStudy (perl):

radius = diameter / 2 = 8

OpenStudy (anonymous):

so the diameter is 16

OpenStudy (perl):

sorry, diameter is twice the radius

OpenStudy (perl):

radius is half the diameter

OpenStudy (anonymous):

the area of crust cut off is 26.48.

OpenStudy (anonymous):

AM i right

OpenStudy (perl):

nope

OpenStudy (anonymous):

Area of crust cut off = total area of sector - area of isosceles triangle A= 1/6*pi(8)^2 - 60

OpenStudy (perl):

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

OpenStudy (anonymous):

27.71

OpenStudy (perl):

A= 1/6*pi(8)^2 - √(3)/ 4 (8)^2

OpenStudy (perl):

yes thats correct

OpenStudy (anonymous):

ok I got it

OpenStudy (anonymous):

the area of the segment cut off is 5.8

OpenStudy (anonymous):

Am i right?

OpenStudy (perl):

yes, but note that this an approximation, since a pizza crust can sometimes be thick We solved the 'ideal' problem

OpenStudy (anonymous):

ok thanks :-)

OpenStudy (perl):

this is what we found exactly http://prntscr.com/7a5bjm

OpenStudy (perl):

if we cut it that way

OpenStudy (perl):

so that cut approximates removing the crust

OpenStudy (anonymous):

To find the isosceles, why did u divide 360/6

OpenStudy (anonymous):

Since the triangle is 180

OpenStudy (perl):

|dw:1432761628546:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!