Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (anonymous):

A giant pie is created in an attempt to break a world record for baking. The pie is shown below:

OpenStudy (anonymous):

OpenStudy (anonymous):

What is the area of the slice of pie that was cut, rounded to the nearest hundredth? (5 points) Select one: a. 79.09 ft2 b. 85.31 ft2 c. 97.23 ft2 d. 98.83 ft2

OpenStudy (anonymous):

@science0229

OpenStudy (science0229):

since the diameter is 35ft, the radius is 12.5ft, right?

OpenStudy (science0229):

The total area of the circle is given by pi*12.5^2 ft^2, right?

OpenStudy (anonymous):

yes

OpenStudy (science0229):

Now, think of it this way. total area/360 degrees=area/37 degrees Do you understand this proportion?

OpenStudy (anonymous):

yes

OpenStudy (science0229):

we know the total area, so substitute that in the equation to get the area of the slice.

OpenStudy (science0229):

and i made a mistake.. sorry the radius is 17.5, not 12.5 (stupid calculation error) so the total area should be pi*17.5^2 ft^2

OpenStudy (anonymous):

so what would the answer be

OpenStudy (science0229):

I think you can do the calculation by typing it in the calculator or the computer.

OpenStudy (anonymous):

its C isnt it

OpenStudy (mathmale):

Please calculate the area, sharing your work with the rest of us. Then you should be able to determine whether or not C is correct or not.

OpenStudy (anonymous):

i did calculate it and i got 962.1127501618741

OpenStudy (mathmale):

Is that close to any of the four answer choices?

OpenStudy (science0229):

It seems like you have to use 3.14 for pi... http://www.wolframalpha.com/input/?i=%2837%2F360%29*3.14*17.5%5E2

OpenStudy (anonymous):

ok thanks

OpenStudy (mathmale):

3.14 as a rough value for Pi is close enough for our purposes here. What is the area of the whole pie? Please show your work. Once you have that total area, multiply it by 37/360. what do you get? Why multiply the total area by 37/360?

OpenStudy (anonymous):

i got D so thnx guys

OpenStudy (mathmale):

:)

OpenStudy (science0229):

welcome! :)

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!