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Mathematics 19 Online
zarkam21 (zarkam21):

Stuck?

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

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?

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)

OpenStudy (mathstudent55):

BTW, the units are cm, since the arc length is given in cm.

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