Question : The area of a circle is $324\pi$ square cm. The length of its longest chord (in cm) is:
Option 1: 36
Option 2: 28
Option 3: 38
Option 4: 32
Answer (1)
13th Jan, 2024
Correct Answer: 36
Solution :
Given: Area of circle = $324\pi$ sq. cm
Let the radius of the circle be $r$ cm.
⇒ $\pi r^2= 324\pi$
⇒ $r^2= 324$
⇒ $r=18$
We know that the longest chord of the circle is the diameter.
So, the longest chord = 2 × 18 = 36 cm
Hence, the correct answer is 36.
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