Find the area of the sector shown

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Find the area of the sector shown

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1436238473382:dw|
well, we know that an entire circle is 360 degrees, and the sector we have is 80 degrees therefore, the area of the sector is (80/360) of the entire circle we multiply (80/360) times the area of the circle, where area = pi*r^2 putting it all together: area of sector = (80/360)*(pi)(r^2)
i put the formula as (1/2) (8^2) (80) (pi/180)

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yeah, that works too. it should give you the same result in the end
well i got 44.68 is that correct
yeah that's right, good job
are you sure that's correct because i checked the answer and it's supposed to be 35.45
so i was confused
@UsukiDoll I'm pretty sure I'm right, please check my work?
i think so too but idk why it has a different answer
are we finding a semi-circle, quarter circle, or any sector (which is a fractional part of the area)?
any sector
alright so the formula for the area for circle is \[A= \pi r^2 \] But for any sector we either use the formula \[A= \frac{n}{360} \pi r^2 \] which is n is the number of degrees in the central angle of the sector or \[A= \frac{C_s}{2 \pi r} \pi r^2 \] where C_s is the length of the sector
|dw:1436239304856:dw| so you're given 80 degrees.. that's your n and you have a radius of 8
i got the same answer with both those formulas
im guessing that the book just has it wrong then
\[A= \frac{80}{360} \pi (8)^2\] \[A= \frac{2}{9} \pi( 64)\]
your book is wrong.
I also have the same answer as @Vocaloid
yeah same here
thank you!
\[A= \frac{2}{9} \pi( 64) \] \[A= \frac{128}{9} \pi \] \[A= 14.222222222222222\pi \] \[A=44.68 \]
yeah you're right we all go the same answer

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