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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


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.


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.


What shape can not form a perpendicular bisector?

A circle cannot form a perpendicular bisector.


How do you find radius of a circle?

Draw a line from any part on the outside of a circle to the exact center of the circle. * * * * * That is fine if you know where the center is but not much use if you are just given a circle and do not know where the exact centre is. In this case: Draw a chord - a straight line joining any two points on the circumference of the circle. Then draw the perpendicular bisector of the chord. Draw another chord and its perpendicular bisector. The two perpendicular bisectors will meet at the centre.


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