A wire is used t form a circle with diameter 35mm.The wire is also used in making 5 diameters which divide the circle into 10 equal sectors Find 1. the total length of wire used 2.the area of each sector
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OpenStudy (aaronandyson):
@ganeshie8
@Sadworld
OpenStudy (aaronandyson):
@sarahjane116
OpenStudy (aaronandyson):
@butterflydreamer
OpenStudy (mathmath333):
correction total length of wire \((C_1+5(2r_2))\)
OpenStudy (zpupster):
35mm - circumference of circle
what is the diameter of the 35 mm circle? hint : C=Pi(diameter) or C = 2(pi)r
35/pi=diam
(5*diam) + 35 = length of wire
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OpenStudy (aaronandyson):
17.5 times 5 plus 35?
OpenStudy (aaronandyson):
@zpupster 35mm is the diameter given -.-
OpenStudy (aaronandyson):
im really confused :(
OpenStudy (aaronandyson):
@mathmath333
OpenStudy (mathmath333):
let the length of wire be divide in two parts \(x_1~and ~
x_2\)
the first part is used to form form a circle with diameter 35mm \((d_1=35)\)
so it is equal to its circumference so
\(x=\pi d_1=35\pi\)
first see if it makes sense
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OpenStudy (mathmath333):
i mean \(x_1=35\pi\)
OpenStudy (aaronandyson):
area of the circle is 110?
OpenStudy (mathmath333):
how ?
OpenStudy (aaronandyson):
sorry i meant circumference = 110
OpenStudy (mathmath333):
yes
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OpenStudy (aaronandyson):
now?
OpenStudy (mathmath333):
also the wire is used in making 5 diameters which divide the circle into 10 equal sectors
let area of each sector be \(A\) so
\(\large A_s=\dfrac{area ~of ~circle}{10}\\
=\dfrac{\pi (d_1/2)^2}{10}\\\)
OpenStudy (mathmath333):
also \(x_2=5\times d_1\)
so \(total ~wire=x_1+5\times d_1\)
OpenStudy (mathmath333):
see if the answer matches with book
OpenStudy (aaronandyson):
area of each sector?
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OpenStudy (mathmath333):
@zpupster 35mm is the length of diameter given
OpenStudy (aaronandyson):
AREA OF EACH SECTOR?
AREA OF CIRCLE?
IM SO CONFUSED!!!!!!
OpenStudy (zpupster):
sorry
OpenStudy (mathmath333):
its ok @zpupster
lol, calm down @AaronAndyson
and please read my reference
OpenStudy (aaronandyson):
yet me confused
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OpenStudy (mathmath333):
which part ?
OpenStudy (aaronandyson):
is it 22/7*17.5*17.5?
OpenStudy (aaronandyson):
for the full circle
OpenStudy (mathmath333):
yes
OpenStudy (aaronandyson):
9625?
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OpenStudy (mathmath333):
its comming \(962.1\) for me
OpenStudy (mathmath333):
area of full circle ^
OpenStudy (mathmath333):
so \(96.21\) area of each sector
OpenStudy (aaronandyson):
back of the book says 96.25
OpenStudy (mathmath333):
lol its \(\approx\) approximate
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OpenStudy (mathmath333):
that difference comes because the exact value of \(\pi\) is not \(22/7\) its \(3.14...............\)
OpenStudy (aaronandyson):
?????????????????????????????????????????
OpenStudy (mathmath333):
forgot that lol , any doubt still ?
OpenStudy (aaronandyson):
more questions
OpenStudy (mathmath333):
sry have to go , but when i come i will have a look at it , good luck