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Mathematics 18 Online
OpenStudy (adajiamcneal):

geometry :) will fan and medal

OpenStudy (adajiamcneal):

OpenStudy (adajiamcneal):

@matt101

OpenStudy (adajiamcneal):

@zepdrix

OpenStudy (adajiamcneal):

is it 6.9?

OpenStudy (matt101):

The sides of the triangle form chords of the circle. The length of the chords are always less than the diameter of the circle, so before doing any math at all, you can eliminate the first 2 options, because the diameter of the circle must be greater than the side length of the triangle. To find the diameter, you can just find the radius of the circle and then double it. The radius of the circle is equal to the distance from any vertex of the triangle to the triangle's centroid, which corresponds to the circle's centre. You can find the radius using a bit of simple trigonometry: |dw:1430963607757:dw| From the diagram, you can see that cos30=3/r, meaning r = 3.46. That means the diameter is twice that, 6.92. So yes, 6.9 would be your answer!

OpenStudy (adajiamcneal):

ok can you help me with a few more :) i think its only 2 more might be 3

OpenStudy (matt101):

Sure just tag me in whatever other questions you post!

OpenStudy (adajiamcneal):

OpenStudy (matt101):

This one I'm not entirely sure about

OpenStudy (adajiamcneal):

OpenStudy (matt101):

Hmm not too sure about this one either...this type of geometry isn't my strongest subject unfortunately!

OpenStudy (adajiamcneal):

ok well thanks anyways :)

zepdrix (zepdrix):

On number 2, I can't rememberrrrr what the rule is called.... Pretty sure you take the average of those two arcs. So 30+100=130 then divide by 2.

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