MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Length of an Arc

Can we have a...

Question

Can we have a chord in a circle longer than its diameter?

Open in App

Solution

It is not possible to have a chord longer than the diameter of a circle because the diameter connects the two farthest points on the circumference of a circle. Any chord longer than that will cross the circle outline.

Suggest Corrections

thumbs-up

2

Similar questions

Q. In each of the following, state if the statement is true (T) of false (F);

(i) Every circle has a centre.
(ii) The centre of a circle is a point of the circle.
(iii) Any two radii of a circle make up a diameter.
(iv) Every chord of a circle is parallel to some diameter of the circle.
(v) A circle is symmetric about each of its diameters.
(vi) The diameter is twice the radius.
(vii) A radius is a chord of the circle.
(viii) Concentric circles have the same radii.
(ix) The nearer a chord to the centre of a circle, the longer is its length.

Q. By joining any two points on a circle, we obtain its

(a) radius
(b) diameter
(c) chord
(d) circumference

Q. Fill in the blanks:

(i) The diameter of a circle is .....times its radius.
(ii) The diameter of a circle is the ..... chord of the cirlce.
(iii) The diameter of a circle pass through......
(iv) A chord of a circle is a line segment with its end points on the....
(v) If we join any two points on a circle by a line segment, we obtain.... of the circle.
(vi) A radius of a circle is a line segment with one end at .... and the other end at.....
(vii) All radii of a circle are.....
(viii) The diameters of a circle are
(ix) The total number of diameters of a circle is .....
(x) Every point on a circle is .....from its centre.
(xi) A chord of a circle contains exactly ...... points of the circle.
(xii) A diameter is the longest.......
(xiii) Concentric circles are circles having.......

Q. The longest chord in a circle is its diameter

Q. If a diameter of a circle bisect each of the two chords of a circle than prove that the chords are parallel.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Circumference of Circle

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Length of an Arc

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon