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Find the area of a circle with a circumference of 37.68 units. units ^(2)

Find the area of a circle with a circumference of 3737.6868 units.\newline□\square units 2 ^{2}

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Full solution

Q. Find the area of a circle with a circumference of 3737.6868 units.\newline□\square units 2 ^{2}
  1. Find Circle Radius: Find the radius of the circle using the circumference.\newlineCircumference CC = 2πr2 \pi r\newline37.68=2πr37.68 = 2 \pi r\newliner=37.682πr = \frac{37.68}{2 \pi}\newliner≈37.686.28r \approx \frac{37.68}{6.28}\newliner≈6r \approx 6
  2. Calculate Circle Area: Calculate the area of the circle using the radius.\newlineArea A=π⋅r2A = \pi \cdot r^2\newlineA=π⋅62A = \pi \cdot 6^2\newlineA=π⋅36A = \pi \cdot 36\newlineA≈3.14⋅36A \approx 3.14 \cdot 36\newlineA≈113.04A \approx 113.04

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