the cost of painting a circular traffic sign is 3.50 per square foot. how much, to the nearest cent will it cost to paint the sign if the radius of the sign is 18 inches

Question

anonymous · Answer

How many inches in a foot is there?

anonymous · Answer

12in equals 1ft

imstuck · Answer

Do you know how to find the area of a circle?

imstuck · Answer

Find the area of the circle in order to find out how many square feet there are in the circle.  If the radius of the sign is 18 inches, the area is this$$A _{circle}=\pi (18")^{2}$$But since the 18 is in inches and we are looking for feet, we have to convert that 18 inches to feet.

imstuck · Answer

18 inches = 1.5 feet.

imstuck · Answer

$$A=\pi (1.5)^{2}$$We DO in this case want to multiply the pi into the answer, so the area of your circular sign is 7.07 feet squared.

imstuck · Answer

now if it costs $3.50 for 1 square foot, how much does it cost for 7.07 square feet to be painted?

imstuck · Answer

$24.74

imstuck · Answer

TY for the medal!

anonymous · Answer

thx mate