How much will it cost to paint a circular sign with a radius of 4 feet if the painter charges $1.50 per square foot?

Question

8599 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-14T01:06:28

$75.40

First, we must find the area. The formula for the area of a circle is #A=pir^2#, and we know from the question that #r=4#.

Therefore, #A=pi(4^2)=color(blue)(16pi)# square feet.

Since the painter charges #$1.50# per square foot, he would charge a total of #16pi*1.50=color(red)($75.40)#.

Answer 2 · 2015-11-14T01:14:22

$75.39

The area of a circle is given by the formula #pir^2#. Plugging the radius into the equation, we get:
#pi times 4^2=16pi, or 50.26ft^2#

If the sign costs $1.50 per square foot, then the cost for the sign is:
#50.26 times $1.50 =$75.39#