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anonymous
 one year ago
Find the area of the sector shown
anonymous
 one year ago
Find the area of the sector shown

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436238473382:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1well, 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
 one year ago
Best ResponseYou've already chosen the best response.0i put the formula as (1/2) (8^2) (80) (pi/180)

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1yeah, that works too. it should give you the same result in the end

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well i got 44.68 is that correct

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1yeah that's right, good job

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0are you sure that's correct because i checked the answer and it's supposed to be 35.45

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1@UsukiDoll I'm pretty sure I'm right, please check my work?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think so too but idk why it has a different answer

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0are we finding a semicircle, quarter circle, or any sector (which is a fractional part of the area)?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0alright 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
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436239304856:dw so you're given 80 degrees.. that's your n and you have a radius of 8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got the same answer with both those formulas

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im guessing that the book just has it wrong then

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0\[A= \frac{80}{360} \pi (8)^2\] \[A= \frac{2}{9} \pi( 64)\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0I also have the same answer as @Vocaloid

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0\[A= \frac{2}{9} \pi( 64) \] \[A= \frac{128}{9} \pi \] \[A= 14.222222222222222\pi \] \[A=44.68 \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah you're right we all go the same answer
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