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OpenStudy (flamingfrost25):
ready
zarkam21 (zarkam21):
OpenStudy (phi):
you could use proportions to find C (the circumference)
9/135 = C/360
OpenStudy (phi):
once you know C, you can find r using C = 2pi r
zarkam21 (zarkam21):
Well I ust solved for C and got 24
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OpenStudy (phi):
ok, next use
C = 2 pi r
you know C is 24
24 = 2 pi r
divide both sides by 2pi
or by 2
then by pi
zarkam21 (zarkam21):
well 24/2 is 12
zarkam21 (zarkam21):
12/pi is 3.82165
OpenStudy (phi):
looks good
r= 3.82
zarkam21 (zarkam21):
units squared?
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OpenStudy (mathstudent55):
Here is the formula for the length of an arc of circle, where
s = length of the arc,
n = measure of central angle, and
r = radius of the circle.
\(s = \dfrac{n}{360^\circ}2 \pi r\)
You know s and n.
Plug in those values in the formula above and solve for r.
OpenStudy (phi):
you are finding the length of a radius
that is the length of a "line" (not area)
OpenStudy (phi):
in other words, just "units" (of distance)
zarkam21 (zarkam21):
OKay so just 3.82 units
OpenStudy (phi):
yes. units for lengths, squared units for area (I remember a "square" has the shape of area)
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OpenStudy (mathstudent55):
BTW, the units are cm, since the arc length is given in cm.