. 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?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter48: Applications Of Formulas To Spur Gears
Section: Chapter Questions
Problem 58A
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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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