-
A wire, when bent in the form of a square, encloses a region having area 121 cm2. If the same wire is bent into the form of a circle, then the area of the circle
is (Take π = 22/7)
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- 144 cm²
- 180 cm²
- 154 cm²
- 176 cm²
- 144 cm²
Correct Option: C
Using Rule 10 and 14,
Side of the square = √121 = 11cm
∴ Length of the wire = 4 × side = 4 × 11 = 44 cm
Now the wire is bent into the form of a circle.
If the radius of the circle be r cm, then,
∴ 2πr = 44
| ⇒ r = | = | = 7 cm | ||
| 2π | 2 × 22 |
⇒ Area of the circle = πr²
| = | × 7 × 7 = 154cm² | |
| 7 |
