Home
Class 12
MATHS
A wire of length a is cut into two parts...

A wire of length `a` is cut into two parts which are bent, respectively, in the form of a square and a circle. The least value of the sum of the areas so formed is `(a^2)/(pi+4)` (b) `a/(pi+4)` `a/(4(pi+4))` (d) `(a^2)/(4(pi+4))`

A

`a^2/(pi+4)`

B

`a/(pi+4)`

C

`a/(4(pi+4))`

D

`a^2/(4(pi+4))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

A wire of length 2 units is cut into two parts which are bent respectively to form a square of s i d e=x units and a circle of radius =r units. If the sum of the areas of the square and the circle so formed is minimum, then :

A wire of length l is cut in to two parts. One part is bent into a circle and the other into a square. Show that the sum of the areas of the circle and the square is least, if the radius of the circle is half the side of the square.

Find the value of the : sin^2 pi/6 + cos^2 pi/3 - tan^2 pi/4

If a vector barx makes angles with measure (pi)/(4) and (5pi)/(4) with positive directions of X-axis and Y-axis respectively. Then barx made angle of measure _________ with positive direction of Z-axis. a) (5pi)/(4) b) (pi)/(3) c) (pi)/(2) d) (pi)/(4)

Area lying in the first quadrant and bounded by the circle x^(2)+y^(2)=4 the line x=sqrt(3)y and x-axis , is (a) pi/2 (b) pi/4 (c) pi/3 (d) pi

The least value of the function phi(x)=int_((7pi)/6)^(x)(4sint+3cost)dt on the interval [(7pi)/6,(4pi)/3] is

If cottheta=3/4 and pi

The value of I = \int_{0}^(pi/2) frac{1}{1+cot x} dx is........... A) pi B) ( pi )/2 C) ( pi )/4 D) ( pi )/3

Express the following numbers in form x+iy: sqrt 2 (cos (7( pi )/4) + i sin (7( pi )/4))