Explanation:
Traffic sign painting cost
The cost of painting a circular traffic sign is $2,50 per sq foot. How much will it cost to paint the sign if its diameter is 36 in.
We can start by finding the area of the circular traffic sign, using the formula for the area of a circle:
A = πr^2
where A is the area of the circle, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle. We are given the diameter of the circle, which is 36 inches. The radius is half of the diameter, so we have:
r = 36/2 = 18 inches
We need to convert the radius from inches to feet, since the cost of painting is given per square foot. There are 12 inches in a foot, so:
r = 18/12 = 1.5 feet
Now we can find the area of the circle:
A = πr^2 = π(1.5)^2 ≈ 7.07 square feet
Finally, we can calculate the cost of painting the sign:
cost = $2.50/sq ft x 7.07 sq ft ≈ $17.68
Therefore, it will cost approximately $17.68 to paint the circular traffic sign