JEE Main 2021 — Application Of Derivatives Question with Solution
From: JEE Main 2021 (Online) 26th August Morning Shift
Question
A wire of length 36 m is cut into two pieces, one of the pieces is bent to form a square and the other is bent to form a circle. If the sum of the areas of the two figures is minimum, and the circumference of the circle is k (meter), then is equal to _____________.
Enter your answer
Show full solutionCorrect answer: 36
Correct answer
36
Step-by-step explanation
Let x + y = 36
x is perimeter of square and y is perimeter of circle side of square = x/4
radius of circle =
Sum Areas =
For min Area :
Radius = y = 36
k =
= 36
x is perimeter of square and y is perimeter of circle side of square = x/4
radius of circle =
Sum Areas =
For min Area :
Radius = y = 36
k =
= 36
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