SOLUTION: Mr.Greenstamps, Please provide a diagram, I have no idea what you mean. https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.1149205.html Thank you so mu

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Mr.Greenstamps, Please provide a diagram, I have no idea what you mean. https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.1149205.html Thank you so mu      Log On

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Question 1205194: Mr.Greenstamps,
Please provide a diagram, I have no idea what you mean.
https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.1149205.html

Thank you so much!
Sorry for the inconvenience
Find the radius, in cm, of the large circle if the radius of the smaller circle
is 5 sqrt3 cm. The angle formed by the two radii at the center is 60 degrees.
Found 5 solutions by Edwin McCravy, math_tutor2020, mccravyedwin, ikleyn, AnlytcPhil:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Find the radius, in cm, of the large circle if the radius of the smaller circle
is 5 sqrt3 cm. The angle formed by the two radii at the center is 60 degrees.
I think this is the correct figure.  

Angle AOB has measure 60%5Eo and OB = 5sqrt%283%29

Find OA.

Now you other tutors take it from there.



Edwin

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

In reference to tutor Edwin's diagram, there's nothing in the instructions that mentions angle ABO must be 90 degrees (or that AB must be tangent to the smaller circle).

Answer by mccravyedwin(408) About Me  (Show Source):
You can put this solution on YOUR website!
I agree fully with Math_Tutor2020 that there's nothing in the instructions that
mentions angle ABO must be 90 degrees (or that AB must be tangent to the smaller
circle).  It wasn't even given that the circles are concentric.

However, my gut sense tells me this was what the student intended. The student
probably had that diagram given.

If that wasn't what was intended, no harm done.

Triangle AOB is a 30-60-90 right triangle, so,'

matrix%281%2C2%2CSHORTER%2CLEG%29%2F1%22%22=%22%22matrix%281%2C2%2CLONGER%2CLEG%29%2Fsqrt%283%29%22%22=%22%22HYPOTENUSE%2F2

OB%2F1%22%22=%22%22OA%2F2

5sqrt%283%29%2F1%22%22=%22%22OA%2F2

OA%22%22=%22%2210sqrt%283%29

Edwin

Answer by ikleyn(52858) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find the radius, in cm, of the large circle if the radius of the smaller circle
is 5 sqrt3 cm. The angle formed by the two radii at the center is 60 degrees.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


In web-page

https://www.chegg.com/homework-help/questions-and-answers/find-radius-cm-large-circle-radius-smaller-circle-3cm-angle-formed-two-radii-centre-60-deg-q106828427

you will find totally different from Edwin's plot, related to practically the same set of words.


//////////////////


It is not a tutor's job to guess or to restore a plot based on a given set of words.

In opposite, it is a  VISITOR's  highlight%28highlight%28highlight%28duty%29%29%29  to provide a right plot  (or at least a reference to a plot)
together with wording description.



Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
Wrong. It's a tutor's job on this site to do whatever is necessary to help
bring the most struggling math students to this site. Not to act like a strict
math teacher, jumping on their backs because they make typos and don't copy
problems exactly like they're supposed to. They get enough yelling at them by
their teachers at school.