Circular Field Circumference Given
The circumference (\(C\)) of the circular field is given as 440 m.
We need to find the area (\(A\)) of this field.
- Circumference, \(C = 440\) m.
- Area, \(A = ?\)
- Standard formulas: \(C = 2 \pi r\) and \(A = \pi r^2\).
- Using \(\pi \approx \frac{22}{7}\).
Calculating the Field Area
Step 1: Determine the radius (\(r\))
From the circumference formula \(C = 2 \pi r\):
\(440 = 2 \times \frac{22}{7} \times r\)
\(440 = \frac{44}{7} r\)
Solving for \(r\) yields:
\(r = \frac{440 \times 7}{44}\)
\(r = 10 \times 7 = 70\) m
Step 2: Compute the area (\(A\))
Using the area formula \(A = \pi r^2\):
\(A = \frac{22}{7} \times (70)^2\)
\(A = \frac{22}{7} \times 4900\)
Simplifying:
\(A = 22 \times 700 = 15400\) m\(^2\)
Circular Field Area Result
The calculated area of the circular field is $15400$ m\(^2\).
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