JEE Main 2017 Mathematics question

MathematicsApplication of DerivativesJEE Main 2017

Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flower-bed, is :

Answer: (B)

Solution

2r + rθ = 20, so area , which is maximum at r = 5: A = 25.

Question ID VK-009010