An art student decides to use a geometric construction to find the center of a circle. She first draws a chord. Which of the following should she do next in order to find the center of the circle in the fewest steps?

A. Construct a perpendicular bisector of the chord.
B. Construct a line parallel to the chord.
C. Construct a second chord perpendicular to the first, starting where the first chord intersects the circle.
D. Construct an equilateral triangle inscribed in the circle using the chord as the base.



Answer :

Final answer:

In geometry, constructing a perpendicular bisector of a chord helps find the center of a circle efficiently.


Explanation:

To find the center of a circle in the fewest steps after drawing a chord, the art student should construct a perpendicular bisector of the chord.


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