Question

The length of the longest chord of the circle with radius 2.9 cm is ......Choose correct alternative answer and fill in the blank.
(A) 3.5 cm
(B) 7 cm
(C) 10 cm
(D) 5.8 cm

Answer 1

Answer:

(D) 5.8 cm

Step-by-step explanation:

Given,  

radius of circle = 2.9 cm

We have to calculate the longest chord of the given circle having a radius of 2.9 cm.

According to the definition of the chord of a circle, the diameter is considered as the longest chord of a circle.  

And as we know, the diameter of a circle can be given by  

D = 2 x radius of circle

   = 2 x 2.9 cm

   = 5.8 cm

So, the length of a given circle of radius 2.9 cm will have the longest chord of length 5.8 cm.

Answer 2

Answer:

∴ The longest chord of the circle is $5.8$ cm.

Step-by-step explanation:

       In context with question asked,

• We have to find the length of the longest chord of the circle.
• It is given that, radius = $2.9$ cm
• Circle is a set of points arranged in at an equal distance from the center of a circle.
• In a circle, diameter is the longest chord of a circle.
• Diameter is twice the radius.
• So,

        Longest chord of a circle = $2\times radius$

                                             = $2\times 2.9$

                                             = $5.8$ cm

• ∴ The longest chord of the circle is $5.8$ cm.