anonymous
  • anonymous
Find the area of the sector shown
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1436238473382:dw|
Vocaloid
  • Vocaloid
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)
anonymous
  • anonymous
i put the formula as (1/2) (8^2) (80) (pi/180)

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More answers

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

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