Answer: 49.0 square meters
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Explanation:
We'll first need to find the radius of the rug using the circumference.
C = 2*pi*r
r = C/(2pi)
r = (24.8)/(2*3.14)
r = 3.949045 which is approximate.
Now we can find the area
A = pi*r^2
A = 3.14*(3.949045)^2
A = 48.968163 this is also approximate
Rounding to the nearest tenth gets to 49.0
