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March 25, 2017

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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!

  • 10th grade Math B - ,

    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)

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