. Lynne and a partner will construct a regular hexagon inscribed in a circle using a single piece of string that is x inches long. The step-by-step process they will use is shown below. Step 1: As the partner holds one end of the string at a point, Lynne will stretch the string tight and rotate it about the point to construct a circle. Step 2: As the partner holds one end of the string at a point on the circle, Lynne will rotate the string until the other end of the string intersects the circle. Step 3: After the partner moves the end of the string to the intersection point, Lynne and the partner will repeat the process described in Step 2 around the circle. Step 4: Lynne will connect the adjacent points with line segments. To construct the regular hexagon, what length of string should be used as the string is moved around the circle to make the intersection points?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.CR: Review Exercises
Problem 31CR: Can a circle be inscribed in each of the following figures? a Parallelogram c Rectangle b Rhombus d...
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Lynne and a partner will construct a regular hexagon inscribed in a circle using a single piece of string that is x inches long. The step-by-step process they will use is shown below.

Step 1: As the partner holds one end of the string at a point, Lynne will stretch the string tight and rotate it about the point to construct a circle.
Step 2: As the partner holds one end of the string at a point on the circle, Lynne will rotate the string until the other end of the string intersects the circle.
Step 3: After the partner moves the end of the string to the intersection point, Lynne and the partner will repeat the process described in Step 2 around the circle.
Step 4: Lynne will connect the adjacent points with line segments.

To construct the regular hexagon, what length of string should be used as the string is moved around the circle to make the intersection points?
 
A)
1/2 x
B)
1/3 x
C)
x
D)
1/6 x
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