@Arjun sir,

For given surface area SPHERE has the largest volume, not CUBE..

The Gateway to Computer Science Excellence

+1 vote

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

- The circle has the largest area
- The square has the largest area
- The equilateral triangle has the largest area
- All the three shapes have the same area

Migrated from GO Mechanical 1 year ago by Arjun

+1 vote

Best answer

+1 vote

Let's take $100$ units as the perimeter

Circle:

- $2πr = 100$
- $\implies r = 100/(2π) = 100/(2\times 3.14) = 15.92$ units
- Area $= πr^2$
- $=3.14\times 15.92\times 15.92 = 795.82$ square units

Square:

- $4a = 100$
- $\implies a = 25 $units
- Area $= a\times a = 25\times 25 = 625$ square units

Equilateral Triangle:

- $3s = 100$
- $s = 100/3 = 33.33$ units
- Area $=\frac{\sqrt 3 }{ 4} s^2$
- $=\frac{\sqrt 3}{4} \times 33.33 \times 33.33$
- $ = 481.029$ square units

$795.82 > 625 > 481.029$

Circle Area > Square Area > Equilateral Triangle Area

Hence, A is Correct.

52,215 questions

59,988 answers

201,185 comments

94,648 users