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Charlie measured the circle-shaped part of a sun his sister drew on the chalkboard.
The circumference of the circle is 75.36 cm. What is the diameter? (Use 3.14 for .)
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Nnesha (nnesha):
do you know the formula ??
OpenStudy (anonymous):
no
Nnesha (nnesha):
\[\huge\rm C = \pi \times d\]
C =circumference
d = diameter
replace variables by their values and solve or missing variable
Nnesha (nnesha):
for*
OpenStudy (anonymous):
i dont get it
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Nnesha (nnesha):
circumference of the circle is what ??
OpenStudy (anonymous):
3.14?
Nnesha (nnesha):
nope read the question again
OpenStudy (anonymous):
o 75.36 sorry
Nnesha (nnesha):
C= 75.36
pi = ??
d = ??
you have to solve for d
so replace pi and c by their values
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OpenStudy (anonymous):
pi is 3.14?
Nnesha (nnesha):
yep right
OpenStudy (anonymous):
so it is pi times the ....um diameter
Nnesha (nnesha):
c = pi times diameter
how would you substitute ??
OpenStudy (anonymous):
i dont kno a variable?
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Nnesha (nnesha):
okay that's right but i'm saying how would equation look like when you replace c and pi
by their values
OpenStudy (anonymous):
o 75.36 = 3.14 * d
Nnesha (nnesha):
yep right
so how would you solve for d?
do you know ??
OpenStudy (anonymous):
no i dont
Nnesha (nnesha):
3.14 is multiplying by d
do cancel out 3.14 from right side you should do opposite of multiply which is ?
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OpenStudy (anonymous):
divide
Nnesha (nnesha):
yep right so divide both side by 3.14
OpenStudy (anonymous):
24 and 1
Nnesha (nnesha):
yep right
d times 1 = d
OpenStudy (anonymous):
so it is 24? rite
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Nnesha (nnesha):
yes
OpenStudy (anonymous):
wait but this guy said 36 r6 2 = 6 how did he get 6?
OpenStudy (anonymous):
r^2*
Nnesha (nnesha):
36 times r^2 = 6 ??
OpenStudy (anonymous):
yes that is wvat he said
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Nnesha (nnesha):
2 times 36 times r^2 ??
write one more time i don't get that
OpenStudy (anonymous):
he said that 36= r^2 and so radius =6
Nnesha (nnesha):
is that a same question or different ?
OpenStudy (anonymous):
different
Nnesha (nnesha):
okay so r = d/2
radius is half of diameter
r^2 = 36 <--- how would you solve this for r ??
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OpenStudy (anonymous):
um 36/2?
Nnesha (nnesha):
nope
r^2 = 36 this one
Nnesha (nnesha):
you have to take square root both side
OpenStudy (anonymous):
square root?
Nnesha (nnesha):
yep |dw:1427656651007:dw|
you can change square root to exponent \[\huge\rm \sqrt[n]{x^m} = x^\frac{ m }{ n }\]