Given:
Circumference of inner circle C = 440 m.
Width of the track = 7 m.
Formula Used:
Circumference C = 2πr.
Area of ring A = π(R² - r²).
Solution:
First, find the radius r of the inner circle using the formula for circumference:
r = C / (2π) = 440 × 7 / (2 × 22) = 70 m.
The outer radius R is:
R = r + 7 = 70 + 7 = 77 m.
Now, find the area of the circular track:
A = π(R² - r²) = × (77² - 70²) = × (5929 - 4900) = 3234 m².
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