Question

Which of the following statement is true for the longest chord of a circle?

• A. It is equal to radius.
• B. It is two times of radius.
• C. It is never equal to the diameter.
• D. It is two times of diameter.

Answer 1

The correct option is B

It is two times of radius.

Step 1: Explanation for the correct option:

From the question, it is mentioned that the chord is the longest one.

So, for making the chord longest we need to draw it through the centre of the circle.

It can be drawn as,

As we know, the diameter of the circle also passes from the centre of the circle.

So, from above,

We can conclude that,

The longest chord of the circle is nothing but the diameter.

$Diameter=2\times Radius$

So, we can say that the longest chord of the circle is equal to the two times of radius.

Step-2 : Explanation for incorrect option:

(A) As the longest chord of the circle is equal to the two times of radius. So, it will never be equal to the radius of the circle.

(C) The given statement is an incorrect statement, as the longest chord of the circle is equal to the diameter of the circle.

(D) As the longest chord of the circle is equal to the two times of radius. i.e., the diameter of the circle. So, it will never be equal to the two times of diameter.

Hence, option (B) is the correct answer.