Answer:
Yes it will fit
Explanation:
The area of the bedroom, since it's a square, would be 12ft * 12ft = 144ft²
The area of the circular rug would be πr² = π(40.82/2π)² = 132.6ft²
Since 144ft²>132.59ft², this means that the 132.6ft² circular rug would be able to fit into the 144ft² bedroom.