Yes, the perpendicular bisector of a cord is the shortest distance from the centre of a circle to the cord.
Diameter
Any line that passes through a circle and touches two points on its circumference is a secant line. (Recall that a line is infinitely long.) If the line passes through the center of the circle, it is still called a secant line. Compare this to a line segment that has its endpoints on the circumference of the circle. That line segment is called the cord of the circle. If that cord passes through the center of the circle, it is a diameter of the circle, which is the longest cord of that circle.
A diameter is a cord in a circle containing the center of the circle. But some circles are sections of spheres. Not all diameters are diameters of spheres.
There is no 180' circle that would be half a circle. A complete circle is 360 degrees A circle is 360º no matter what its size is.
A cord that passes through the center of a circle is a diameter of that circle. And you've probably guessed that this is the largest cord of that circle.
Yes, the perpendicular bisector of a cord is the shortest distance from the centre of a circle to the cord.
Yes, a cord that is a diameter always passes through the center of a circle. And it's also the longest cord of that circle.
A diameter of a circle must pass through the center of that circle. A cord is a line segment that has its endpoints on the circumference of a circle. It can be any line segment. If that cord also passes through the center of the circle, it is said to be a diameter of that circle. A diameter of a circle is the longest cord of the circle.
A cord that crosses the center of a circle is a diameter, which divides the circle into two equal halves. It is a line segment, and it is the longest cord that can be drawn within a circle.However, if the segment begins at the center rather than crosses through it, and has the other endpoint on the circumference of the circle, it is not a cord, but is a radius of that circle.
Diameter
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.
A line that goes through a circle is a secant line. (Remember that a line is infinitely long.) Anyline that passes through a circle is a secant line, whether it passes through the center of the circle or not. Compare this to a line segment with endpoints on the circumference of a circle. That segment is called a cord of that circle. If the cord of a circle passes through the center of that circle, it is a diameter of that circle, which is the longest cord of the circle.
A line that goes through a circle is a secant line. (Remember that a line is infinitely long.) Anyline that passes through a circle is a secant line, whether it passes through the center of the circle or not. Compare this to a line segment with endpoints on the circumference of a circle. That segment is called a cord of that circle. If the cord of a circle passes through the center of that circle, it is a diameter of that circle, which is the longest cord of the circle.
A line that goes through a circle is a secant line. (Remember that a line is infinitely long.) Anyline that passes through a circle is a secant line, whether it passes through the center of the circle or not. Compare this to a line segment with endpoints on the circumference of a circle. That segment is called a cord of that circle. If the cord of a circle passes through the center of that circle, it is a diameter of that circle, which is the longest cord of the circle.
The diameter
Draw a cord through the circle (a line through the circle, but not too close to where you imagine the center to be). With construction techniques, find the perpendicular at the center point of the cord, and draw the perpendicular. Do the same thing again starting with a different cord, and the two perpendiculars will intersect at the center of the circle.