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OpenStudy (anonymous):
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Find the area of a sector with a central angle of 110° and a diameter of 5.2 cm. Round to the nearest tenth.
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OpenStudy (wolf1728):
radius = 2.6 cm.
central angle = 110 which is 0.3055555556 of a circle (110/360)
so sector area =
PI*r² * (110/360)
OpenStudy (anonymous):
where does the Pl come from and the radi is half of 5.2 right?
OpenStudy (wolf1728):
yes radius = 1/2 diameter
OpenStudy (wolf1728):
Are you familiar with PI at all?
OpenStudy (anonymous):
no... teach didnt teach that
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OpenStudy (wolf1728):
PI is involved with all kinds of formulas dealing with circles and spheres.
For example if a circle has a diameter of 10, what is the circumference?
OpenStudy (wolf1728):
PI = 3.14159265
OpenStudy (anonymous):
oooh pi i thought that was some technicality derp...
OpenStudy (wolf1728):
so circumference = PI * diameter = 2 * radius * PI
OpenStudy (anonymous):
so i got 2.4958 but thats not one my answer choices
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OpenStudy (anonymous):
the answer should be 6.5
OpenStudy (wolf1728):
So I guess you are talking about PI * r² for the sector, right?
OpenStudy (anonymous):
i think so
OpenStudy (wolf1728):
So, can you calculate PI*r² * (110/360)?
OpenStudy (anonymous):
oh i got it ! I made an error. Forgot to square the radi
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OpenStudy (wolf1728):
Okay then you've got it.
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