Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A circular sector of perimeter 60 meter with maximum area is to be constructed. The radius of the circular arc in meter must be
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
: Let 
be the circular sector.
Perimeter of 
We need maximum area, and we know that area of a sector 
i.e., 
(Using (i))
Differentiating w.r.t ' 
'
For critical point, we have 
Now, 
gives the maximum area.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A spherical balloon is filled with cubic metres of helium gas. If a leak in the balloon causes the…
If Rolle's theorem for is verified on , then the value of is
The approximate value of at is
The point on the curve at which -co-ordinate is changing 8 times as fast as -co-ordinate is
The point on the curve where the tangent is perpendicular to the line is
The maximum value of is