SOLUTION: An equilateral triangle is inscribed on a circle. Id the perimeter of the triangle is 15 (sqrt)3 and its vertex intersects the circle at (-1,6), find the equation of the circle

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: An equilateral triangle is inscribed on a circle. Id the perimeter of the triangle is 15 (sqrt)3 and its vertex intersects the circle at (-1,6), find the equation of the circle       Log On


   



Question 1044258: An equilateral triangle is inscribed on a circle. Id the perimeter of the triangle is 15 (sqrt)3
and its vertex intersects the circle at (-1,6), find the equation of the circle
thank you in advance!

Answer by ikleyn(52799) About Me  (Show Source):
You can put this solution on YOUR website!
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An equilateral triangle is inscribed highlight%28cross%28on%29%29 in a circle. highlight%28cross%28Id%29%29 If the perimeter of the triangle is 15 (sqrt)3
and its vertex intersects the circle at (-1,6), find the equation of the circle
thank you in advance!
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Although it is possible to find the radius of the circle via the side length of the equilateral inscribed triangle,
IT IS IMPOSSIBLE to identify uniquely the position of the center based on given data.

The center position will be at the distance of the radius from the given point - that is all what we know about the center.