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Between a square of perimeter 44 cm and a circle of circumference 44 cm, which figure has larger area and by how much?
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- Square, 33cm²
- Circle, 33 cm²
- Both have equal area.
- Square, 495 cm²
- Square, 33cm²
Correct Option: B
Using Rule 10,
Area of a square = (side)²
| = |  |  | ² | = | | | ² | ||
| 4 | 4 |
= (11)² = 121 cm²
Area of a cricle = π(radius)²
| = π | | | ² | = | ||
| 2π | 4π |
| = | |||
| 4 × | |||
| 7 | |||
= 22 × 7 = 154 cm²
Area of circle – Area of square
= 154 – 121 = 33cm²
∴ Area of the circle is larger than the area of the square by 33 cm².
