Math

posted by .

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!

  • Math -

    Um... I think its 60* ... I think if not, sorry

    360*/6=60*

  • Math -

    Since all 6 points on the circumference of the circle are equally spaced, the string running from each outer point to, and around the center point, and back to the next outer point forms 6 equilateral triangles. The 6 angles formed by the radial strings from the center to the outer points sum to 360º making the central angle of each triangle 60º. By definition therefore, the remaining two angles within each triangle must total 120º making the two outer angles of each triangle 60º each.

    The angles between adjacent outer string sides of the hexagon are therefore 120º apart.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 10th grade Math B

    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 …
  2. trig

    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 sting. What would be the radian measure of the angle between two adjacent pieces of string, in …
  3. Precalculus

    The figure shows part of a curve traced by a point on the circumference of a circle of radius 4 that rotates, without slipping, around a fixed circle of radius 2. The rotating circle starts with angle t = 0 radians and the point P …
  4. math

    Ellen placed a string from one point on a circle, through the center, and to a point on the other side of the circle.Approximately how many times can this length of string fit around the outside of the circle?
  5. Physics

    A 3.1 kg ball is tied to a string and swung in a horizontal circle at a speed of 7.2 m/s. the radius of the circle is 2.2 m. What angle does the string make with the horizontal?
  6. physics

    73. A mobile is formed by supporting four metal butterflies of equal mass m from a string of length L. The points of support are evenly spaced a distance apart as shown in Figure P5.73. The string forms an angle 1 with the ceiling …
  7. Physics help

    Two masses m1 = 2 kg and m2 = 4 kg are connected by a light string. Mass m2 is connected to mass M = 14 kg by a string that passes over an ideal pulley. Determine the following quantities when the system is released from rest. (a) …
  8. physics

    A small 0.482-kg object moves on a frictionless horizontal table in a circular path of radius 0.77 m. The angular speed is 6.18 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table …
  9. physics

    A small 0.533-kg object moves on a frictionless horizontal table in a circular path of radius 1.10 m. The angular speed is 6.41 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table …
  10. math

    X1, X2,...,X9 are nine points on the circumference of circle O. Line segments are drawn connecting each pair of points. What is the largest number of different points inside the circle at which at least two of these line segments intersect?

More Similar Questions