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 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 r a d i u s=r units. If the sum of the areas of the square and the circle so formed is minimum, then : (1) 2x=(pi+4)r (2) (pi+4)x=pir (3) x=2r (4) 2x=r

A wire of length 2 units is cut into two parts which are bent respectively to from a square ofside c units and a circle of radius r units if the sum of the sum of the areas of the square and the circle so fromed is minimum then

In Fig. 15.108, the area of the segment P A Q is (FIGURE) (a) (a^2)/4(pi+2) (b) (a^2)/4(pi-2) (c) (a^2)/4(pi-1) (d) (a^2)/4(pi+1)

The area of a circle of circumference C is (C^(2))/(4 pi) (b) (C^(2))/(2 pi)(C^(2))/(pi) (d) (4C^(2))/(pi)

(pi)/(4)-(3 pi)/(4)-(pi)/(6)+(pi)/(4)=

If the circumference and the area of a circle are numerically equal, then diameter of the circle is (a) pi/2 (b) 2pi (c) 2 (d) 4

A magnetic wire of dipole moment 4pi Am^(2) is bent in the form of semicircle. The new magnetic moment is

A circle is inscribed in a square of side 14m. The ratio of the area of the circle and that of the square is pi:3 (b) pi:4 pi:2 (d) pi:1

The principal value of the amplitude of (1+i) is pi b.(pi)/(12) c.(pi)/(4) d.(3 pi)/(4)