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A piece of wire 132 cm. long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of
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- Circle
- Equilateral triangle
- Square
- Equal in all the shapes
- Circle
Correct Option: A
| Side of equilateral triangle = | = 44 cm. | |
| 3 |
Its area =
| = |  | × 44 × 44 |  | sq. cm | |
| 4 |
= 484√3 sq. cm.
= 484 × 1.7 = 822.8 sq. cm.
Side of square = 132/4 = 33 cm.
Area of square = 33 × 33 = 1089 sq. cm.
Circumference of circle = 2πr
| ⇒ 2 × | ×r = 132 | |
| 7 |
| ⇒ r = | = 21 cm. | |
| 2 × 22 |
| ∴ area of circle = | × 21 × 21 = 1386 sq.cm. | |
| 7 |
