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A copper wire is bent in the shape of a square of area 81cm2. If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is (Take π = 22/7)
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- 16
- 14
- 10
- 7
- 16
Correct Option: D
Using Rule 10 and 14,
Side of a square = √81 = 9 cm
∴ Length of the wire = 4 × 9 = 36 cm.
∴ Perimeter of semi-circle = (π + 2)r where r = radius
⇒ | + 2 | r = 36 cm | |||
7 |
⇒ | r = 36 | |
7 |
⇒ r = | = 7 cm | |
36 |