Answer:
84.4 m²
Explanation:
You want the area of a circular lawn with a circumference of 32.56 m.
Area
The area of the lawn can be found using the formula ...
A = πr²
The relation between circumference and radius is ...
C = 2πr
so the radius is ...
r = C/(2π)
Using this in the area formula, we have ...
A = π(C/(2π))² = C²/(4π)
Application
For the given circumference, the area is ...
A = (32.56 m)²/(4π) ≈ 84.4 m²
The area of the lawn is about 84.4 square meters.
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