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Question Number 69496 by ajfour last updated on 24/Sep/19

Commented by ajfour last updated on 24/Sep/19

Find radius, is it real?

$${Find}\:{radius},\:{is}\:{it}\:{real}? \\ $$

Commented by mr W last updated on 24/Sep/19

i think with given conditions the  radius is not unique. we need two  conditions more.

$${i}\:{think}\:{with}\:{given}\:{conditions}\:{the} \\ $$$${radius}\:{is}\:{not}\:{unique}.\:{we}\:{need}\:{two} \\ $$$${conditions}\:{more}. \\ $$

Commented by mr W last updated on 24/Sep/19

Commented by mr W last updated on 24/Sep/19

P is given.  points A,B,C,D are unknown, we  have totally 8 unknowns.  the circle passes through points  1,2,3,4,5,6. we get only 6 equations.  therefore we need two conditions  more to determine all four points  A,B,C,D.

$${P}\:{is}\:{given}. \\ $$$${points}\:{A},{B},{C},{D}\:{are}\:{unknown},\:{we} \\ $$$${have}\:{totally}\:\mathrm{8}\:{unknowns}. \\ $$$${the}\:{circle}\:{passes}\:{through}\:{points} \\ $$$$\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6}.\:{we}\:{get}\:{only}\:\mathrm{6}\:{equations}. \\ $$$${therefore}\:{we}\:{need}\:{two}\:{conditions} \\ $$$${more}\:{to}\:{determine}\:{all}\:{four}\:{points} \\ $$$${A},{B},{C},{D}. \\ $$

Commented by ajfour last updated on 24/Sep/19

The question seem correct to me  Sir, six informations and six  unknowns.

$${The}\:{question}\:{seem}\:{correct}\:{to}\:{me} \\ $$$${Sir},\:{six}\:{informations}\:{and}\:{six} \\ $$$${unknowns}. \\ $$

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