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?

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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?

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Answer 1 · 2015-11-14T01:06:28

$75.40

Explanation:

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

Therefore, $A = π (4^{2}) = 16 π$ $A=pi(4^2)=color(blue)(16pi)$ square feet.

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

Answer 2 · 2015-11-14T01:14:22

$75.39

Explanation:

The area of a circle is given by the formula $π r^{2}$ $pir^2$ . Plugging the radius into the equation, we get:
$π \times 4^{2} = 16 π, or 50.26 f t^{2}$ $pi times 4^2=16pi, or 50.26ft^2$

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

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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?

2 Answers

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