Question

A chord of a circle, which is twice as long as its radius, is a diameter ofthe circle. State whether the statement is True (or) False And Justify it.

Answer 1

Answer:

A chord that passes through the center of a circle is called a diameter, and is the longest chord.

Step-by-step explanation:

A chord of a circle, which is twice as long as its radius, is a diameter of the circle

The statement given above is TRUE

Chord has two ends lying on circle.

Any point on circle is at a distance of Radius from center of Circle

let say AB is chord & OP ise center

then OA = Radius

OB = Radius

AB = 2 * Radius = OA + OB  => AB passes through center

A chord that passes through the center of a circle is called a diameter, and is the longest chord.