Ari draws twelve circles of diameter 2 inches that all pass through the same point, so that the angles formed by the diameters of any two consecutive circles are congruent, as in the image shown. What is the distance between point A and point B in inches? I notice that there are 30-60-90 triangles that may be formed here, but not sure where the right path is after that.
I've seen this problem before. Stop cheating on your homework.
Here is the pic, the answer is an approximation, you shouod be expected to work out the exact value.
I started with the 2 orange circles then rotate them about X by 360/12 = 30 degrees
You can see that point A is halfway between C and C'
Find the length of AX using cosine rule and then double it for AB