Hi. This is my question:

An art student wants to make a string collage by connecting six equally spaced points on the circumference of a circle to its center with string. What would be the radian measure of the angle between two adjacent pieces of string, in simplest form?

This is a math b regents practice tests question, and I have no idea how to solve it. Please help me! Thank You!

1 answer

much easier than you think.
since you have 6 points equally spaced around the circle, joining every point to the centre will create 6 equal angles at the centre.
so one rotation is 2pi radians, or 360 degrees,
then one angle formed by two adjacent strings is 2pi/6 or pi/3 radians (60 degrees)