a wire is bent in the form of a square which encloses an area of 121 CM square if the same wire is bent in the form of a circle then what will be the area of the enclosed figure
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Given :----
- When the wire bent in the form of Square it enclose area of 121cm² .
Formula used :-----
- Area of square = side*side
- Perimeter of square = 4*side
- Perimeter of circle = 2πr
- Area of circle = πr²
Solution :-----
It is given that, area of square is 121cm²,
so,
→ (side)² = 121
→ side = 11cm ..
Now, same wire bent to Form a circle, that means that ,length of wire will be same in both case , only area will change ...
→ So, Length of wire with side 11cm = 11*4 = 44cm
Now, this is the length of Circle also,
→ so, 2πr = 44
→ 2*22/7*r = 44
→ r = 7cm .
Hence, Area of circle will be = πr² = 22/7 * 7 * 7 = 154cm² .
Hence, we can say that, area of circle would be 154cm² .
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