Flag Differential Calculus> minima and maxima...
question mark

show that of all the rectangles in a given fixed circle,the square has the maximum area.

anushka shanbhag , 15 Years ago
Grade
anser 1 Answers
Sid @ askiitian

Last Activity: 15 Years ago

Hi Anushka

2216_10490_Circle problem.JPG

Here in  h = r sin θ , 

The area of a rectangle ie. length * breadth or

{BD X (AO +CO)}  ie {2r X (h+h)}

by dividing rectangle in two half triangles and calculating each. (half X base X Height) X 2

will be maximum when h will be max. and h is maximum only when θ = 90.

which makes rectangle a square

 

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments