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PS Geometry

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by sud21 » Sat Sep 19, 2015 5:12 am
A circular field that measures 100 π meters in circumference has six monuments evenly spaced around that circumference. If a hexagonal path has been installed to allow patrons to walk straight from monument to as pictured, what is the length, in meters, of that path.

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by [email protected] » Sat Sep 19, 2015 10:30 am
Hi sud21,

I'm going to give you a couple of 'hints' about how to deal with this question, so that you can retry it on your own:

1) Since you're given the circumference, you can figure out the RADIUS of the circle.
2) Draw a circle with the 6 EQUALLY-SPACED monuments on the circumference.
3) Draw a radius out to each monument and draw the "paths" between each pair of monuments (you now have 6 triangles).
4) Since a circle is 360 degrees, what is the measurement of the 6 central angles in your drawing?
5) What does that central angle tell you about ALL of those triangles that you just drew?

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