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.Com
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(52803)   (Show Source): You can put this solution on YOUR website!
.
An equilateral triangle is inscribed in a circle. 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!
~~~~~~~~~~~~~~~~~~~~~~~~

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.


RELATED QUESTIONS

A circle is inscribed in an equilateral triangle, if the circumference of the circle is... (answered by rothauserc)
An equilateral triangle with a perimeter of 24 square root (3) is inscribed in circle .... (answered by ewatrrr)
The area of an equilateral triangle is 12cm2. The area of its inscribed circle... (answered by Alan3354,ikleyn)
Find the perimeter of an equilateral triangle that can be inscribed in a circle whose... (answered by Fombitz)
A circle is inscribed in an equilateral triangle. If the circumference of the circle is... (answered by josgarithmetic)
A circle is inscribed in the equilateral triangle and its radius is 6 cm, what is the... (answered by ikleyn)
An equilateral triangle has a circle of radius 5.00 m inscribed inside it. The circle... (answered by dfrazzetto)
The area of a circle inscribed in an equilateral triangle is 48s square units. Then the... (answered by solver91311)
A circle is inscribed in an equilateral triangle. If the circumference of it is 1cm find... (answered by solver91311)