Final answer:
To find the cost of brick pavers for Ms. Wick's circular patio, we calculate the area of the patio first and then multiply it by the number of pavers required per square foot. Finally, we multiply the total number of pavers by the cost per paver to find the total cost.
Step-by-step explanation:
To calculate the area of the circular patio, we need to find the radius first. The diameter is 24 feet, so the radius is half of that, which is 12 feet. The formula to find the area of a circle is A = πr^2, where A is the area and r is the radius. Plugging in the values, we get A = π(12)^2. Evaluating this expression gives us A ≈ 452.39 square feet.
Since it takes 4.5 brick pavers to cover one square foot, we can multiply the area of the patio by 4.5 to find the total number of pavers needed. Multiplying 452.39 by 4.5 gives us approximately 2035.76 pavers.
Each paver costs $1.04, so we can multiply the total number of pavers by the cost per paver to find the total cost. Multiplying 2035.76 by $1.04 gives us approximately $2117.79. Therefore, Ms. Wick will spend about $2117.79 on brick pavers for her patio.