SOLUTION: The radius of a circle is 23.
I believe this makes the circumference of the circle equal to 1661.06
A regular polygon must be circumscribed about this circle.
The length of one
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-> SOLUTION: The radius of a circle is 23.
I believe this makes the circumference of the circle equal to 1661.06
A regular polygon must be circumscribed about this circle.
The length of one
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Question 366958: The radius of a circle is 23.
I believe this makes the circumference of the circle equal to 1661.06
A regular polygon must be circumscribed about this circle.
The length of one side of this polygon is 2.6
How do I find the number of sides of this circumscribed polygon?
Is there going to be a portion of the circumference that will have to have a side length a little shorter, so that all sides of the polygon are tangent?
Thank you for any help you can give.
Sincerely,
Janet Found 2 solutions by stanbon, Alan3354:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The radius of a circle is 23.
I believe this makes the circumference of the circle equal to 1661.06
A regular polygon must be circumscribed about this circle.
The length of one side of this polygon is 2.6
How do I find the number of sides of this circumscribed polygon?
Is there going to be a portion of the circumference that will have to have a side length a little shorter, so that all sides of the polygon are tangent?
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If the radius is 23, the circumference = 46*pi =~ 144.513
That is not relevant to the problem, tho.
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A polygon with sides of 2.6 means the angle subtended by each side at the center is 2 times the arctan (1.3/23)
=~ 6.47 degrees
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360/6.47 = 55.64 sides
--> there is no such regular polygon
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