If the circumference of the circle below is 25cm, what is the length of AB, to the nearest hunderedth?
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OpenStudy (anonymous):
@Swageraid32 @cherio12 @mathstudent55 @zepdrix
OpenStudy (anonymous):
so first get the circumference
OpenStudy (anonymous):
@cherio12 2 * 3.14 * 25?
OpenStudy (anonymous):
yup
OpenStudy (anonymous):
so, now the angle between a and b is 70 degrees. there is a total of 360 in a circle
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OpenStudy (anonymous):
so you can do a ratio of 70/360 to get the fraction that a and b cover
OpenStudy (anonymous):
multiply that fraction by the circumference to get the length. Does that make sense?
OpenStudy (anonymous):
I got 157 as circumference :) I got 30.53 as my answer? @cherio12
OpenStudy (anonymous):
that's what i got
OpenStudy (anonymous):
thank you!
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OpenStudy (anonymous):
no problem
OpenStudy (mathstudent55):
@needmathhelp7
@cherio12
The problem reads "the circumference of the circle below is 25 cm."
You are given the circumference. All you need to do is the ratio of a 70 degree angle to the full 360 degrees of the circle.
L = (k/360)(2)(pi)r
L = (70/360)(25 cm)
L = 4.86 cm