A circular patio has a circumference of 24 feet. What is the approximate area of the patio?
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38 square feet
46 square feet
57 square feet
113 square feet
The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle.
Given that the circumference of the patio is 24 feet, we can solve for the radius:
24 = 2πr
r = 24 / 2π
r ≈ 3.82 feet
The formula for the area of a circle is A = πr^2. Plugging in the radius we found:
A ≈ π(3.82)^2
A ≈ π(14.55)
A ≈ 45.75 square feet
Therefore, the approximate area of the patio is 46 square feet.