Study guides

☆☆

Q: What is the cord that passes through the center of the circle?

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

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.

No, the cord of a circle does not have to go through the center of that circle. A chord that does go through the center of a circle is a special case and is called the diameter. A chord can connect any two points on a circle.

The cord of a circle that contains the center of that circle is a diameter of that circle.

You have an isosceles triangle, and a circle that is drawn around it. You know the vertex angle of the isosceles triangle, and you know the radius of the circle. If you use a compass and draw the circle according to its radius, you can begin your construction. First, draw a bisecting cord vertically down the middle. This bisects the circle, and it will also bisect your isosceles triangle. At the top of this cord will be the vertex of your isosceles triangle. Now is the time to work with the angle of the vertex. Take the given angle and divide it in two. Then take that resulting angle and, using your protractor, mark the angle from the point at the top of the cord you drew. Then draw in a line segment from the "vertex point" and extend it until it intersects the circle. This new cord represents one side of the isosceles triangle you wished to construct. Repeat the process on the other side of the vertical line you bisected the circle with. Lastly, draw in a line segment between the points where the two sides of your triangle intersect the circle, and that will be the base of your isosceles triangle.

A "cord" is a unit of measure for firewood. It is a stack of wood that is 4'x4'x8'. That is 128 cubic feet of wood.

Related questions

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.

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

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 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.

diameter.The diameterAny cord that passes through the center of a circle is a diameter of that circle.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 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 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 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.

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.) The line may or may not pass through the center of the circle, but it is still called a secant line in any case. 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.

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

People also asked