Attachment:

CircleAngle.jpg [ 5.01 KiB | Viewed 2682 times ]
Looking at the picture above, does Angle ABC work with this rule? If Angle ABC is 52 degrees, is arc AC 104 degrees even though the angle is not uniform (i.e., isosceles or equilateral).

scthakur wrote:

an arc on circle makes double the angle on the center to what it makes on the opposite side on the circle.

With this logic, any of the sides of equilateral triangle will make 120 degree angle at the center of the circle.

Now, if I divide the triangle made by two radii and one side of the triangle into two halves, each of the triangles will be 30, 60, 90 and if r is the radius, then the side of triangle will become r multiplied by root 3.

_________________

------------------------------------

J Allen Morris

**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

GMAT Club Premium Membership - big benefits and savings