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bearhunter [10]
2 years ago
9

The cost of painting the circular traffic sign shown below is $3.50 per square foot. How much to the nearest dollar, will it cos

t to paint the sign if its diameter measures 36 inches?
Mathematics
1 answer:
sattari [20]2 years ago
4 0

Answer:

Use conversion:

1 square foot = 144 square inches.

As per the statement:

The cost of painting a circular traffic sign is $3.50 per square foot.

⇒Cost of painting a traffic sign = $0.025 square inches.

It is also given that: Diameter measures 36 inches.

Area of a circle is given by:

A = \pi r^2

where r is the radius of the circle.

Diameter = 2r

⇒36 = 2r

Divide both sides by 2 we get;

r = 18 inches

then;

A = \pi (18)^2 = 3.14 \cdot 324 = 1,017.36 square inches.

1 square inches  = $0.025

then;

In 1,017.36 square inches = 0.025 \cdot 1,017.36 = \$24.7275

Therefore, $25 ( to the nearest dollar) will it cost to paint the sign if its diameter measure 36 inches.



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