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Yes. The perpendicular bisector of a chord forms a radius when extended to the centre of the circle and a diameter when extended beyond the centre to the opposite point on the circumference.

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Q: Does the perpendiculare bisector of a cord pass through the center of the circle?
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Related questions

Does the perpendicular bisector of a cord of a circle passe through the center of the circle?

Yes, the perpendicular bisector of a cord is the shortest distance from the centre of a circle to the cord.


The point of concurrency for perpendicular bisectors of any triangle is the center of a circumscribed circle true or false?

The perpendicular bisector of ANY chord of the circle goes through the center. Each side of a triangle mentioned would be a chord of the circle therefore it is true that the perpendicular bisectors of each side intersect at the center.


How do you find center of a circle given 3 points on the circle?

You have points A, B, and C. Using a compass and straight edge, find a perpendicular bisector of AB (that is, a line that is perpendicular to AB and intersects AB at the midpoint of AB. Next, find a perpendicular bisector of BC. The two lines you found will meet at the center of the circle.


Is a circle have perpendicular bisector?

A circle can have perpendicular bisector lines by means of its diameter.


When does a secant of a circle pass through the center of the circle?

The secant of a circle passes through the center of a circle sometimes


What is a line through a circle that does not go through the center?

A line through a circle that does not go through the center of the circle is a secant line. A line through a circle that does go through the center is still a secant line, by the way. Compare this to a line segment that has its two endpoints on the circumference of the circle. That line segment is a cord of the circle. If that cord of the circle passes through the center of the circle, then the cord is a diameter of that circle.


How do you find the center of the circle?

-- Draw any two random chords of the circle. -- Construct the perpendicular bisector of each chord. -- The perpendicular bisectors intersect at the center of the circle. All of this can be done with a compass, an unmarked straight-edge, and a pencil.


What can not form a perpendicular bisector?

A circle cannot form a perpendicular bisector.


Do all chords of a circle pass through the center of a circle?

No, not all chords of a circle pass though the center of that circle. Any cord that does pass through the center of the circle is called diameter of that circle.


Does a diameter pass through the center of the circle?

yes a diameter passes through the center of a circle


What is a cord that goes through the center of a circle?

A chord that passes through the center of a circle is its diameter.


What is the line passing through the center of a circle with two endpoints on the circle?

The line passing through the center of a circle with two endpoints on the circle is the circle's diameter.