SOLUTION: Points A,B and C lie on a circle and form an equilateral triangle. If AB = 12 what is the circumference of the circle.

Algebra.Com
Question 319662: Points A,B and C lie on a circle and form an equilateral triangle. If AB = 12 what is the circumference of the circle.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Points A,B and C lie on a circle and form an equilateral triangle.
If AB = 12 what is the circumference of the circle.
:
Draw this out.
The centroid of the equilateral triangle is also the center of circle.
The hypotenuse of the triangle formed by drawing the medians through the
center is also the radius (r).
:
Cos(30) =
.866r = 6
r =
r = 6.93
Find the circumference
C =
C = 43.53

RELATED QUESTIONS

Points A, B, and C lie on the circumference of a circle. AB is twice the radius of the... (answered by ikleyn)
If points R, S, and T lie on a circle and if the center of the circle lies on segment RT, (answered by Edwin McCravy)
Question 8 If AB = 5.5, CD = 7, and FE = 19.5, calculate the values of line... (answered by MathLover1)
A, B and C are points on circle O such that triangle ABC is equilateral. If the radius... (answered by alicealc)
the points A (-4,0), B(4,8) and C(6,0) lie on a circle. the lines AB and BC are chords of (answered by josmiceli)
Points A,B, and C lie on circle R and C does not lie on arc AB. If Arc AB = 125, then (a) (answered by scianci)
On the xy-coordinate plane, points A and B both lie on the circumference of a circle... (answered by venugopalramana)
prove that the points A(0,-3), B(2,1) and C(9,-6) all lie on the circumference of a... (answered by Alan3354)
``prove that the points A(0,-3), B(2,1) and C(9,-6) all lie on the circumference of a... (answered by Fombitz)