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Terms Related to Circle

Is every diam...

Question

Is every diameter of a circle also a chord?

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Solution

If we join any two points on the circumference, we get a line segment called Chord of the circle.
If a chord passes through the centre of a circle, then it is known as Diameter of the circle.
Yes, every diameter of a circle is also a chord because a chord of a circle is any line segment joining any two points on the circumference of a circle.

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State whether the following statements are true or false.

Every chord of a circle is also a diameter.

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.

Is every chord of a circle also a diameter?

(a) Is every diameter of a circle also a chord?

(b) Is every chord of circle also a diameter?

Is every diameter of circle a chord ? Name the longest chord . Is every chord if a circle also a diameter ?

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Terms Related to Circle

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