A hexagon that is inscribed in a circle has side lengths 22, 22 , 20 , 22 , 22 , and 20 in that order. The radius of the circle can be written as p+sqrt(q) , where p and q are positive integers. Find p + q ?

Question

A hexagon that is inscribed in a circle has side lengths  22, 22 , 20  , 22 , 22 , and 20  in that order. The radius of the circle can be written as p+sqrt(q) , where p and q  are positive integers. Find  p + q ?

amistre64 · Answer

what is the average side length?

amistre64 · Answer

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amistre64 · Answer

the radius should be equal to the average side length ....

but you need to develop 2 equations in 2 unknowns most likely to determine p and q

anonymous · Answer

the average side i got 64/3, so what is it ?

amistre64 · Answer

that should be that value of r, if im remembering this correctly

but that only gives us 1 equation in 2 unknowns so we cant solve directly for p and q

amistre64 · Answer

unless maybe we can turn this into a quadratic?

anonymous · Answer

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