How much will it cost to print a circular sign with a radius of $$ 1: 6 $$ feet if the printing company charges $$ \$ 23 $$ per square foot? Use $$ A=\pi r^{2} $$, where $$ \pi $$ is approximately 3.14 , (Round your answer to the nearest cent.) SUBMIT ANSWER

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To find the cost of printing a circular sign with a radius of $$ 1:6 $$ feet, we need to calculate the area of the circle first and then multiply it by the cost per square foot.

Given:
- Radius of the circular sign = $$ 1:6 $$ feet
- Cost per square foot = $23

First, let's calculate the area of the circle using the formula $$ A = \pi r^2 $$, where $$ \pi $$ is approximately 3.14.

The radius of the circular sign is $$ 1:6 $$ feet, which can be converted to a decimal by dividing 1 by 6:
$$ r = \frac{1}{6} \text{ feet} $$

Now, we can calculate the area of the circle:
$$ A = \pi r^2 = 3.14 \times \left(\frac{1}{6}\right)^2 $$

Next, we will calculate the cost of printing the circular sign by multiplying the area by the cost per square foot:
$$ \text{Cost} = A \times \text{Cost per square foot} $$

Let's calculate the cost.
Calculate the value by following steps:
- step0: Calculate:
  $$3.14\left(\frac{1}{6}\right)^{2}$$
- step1: Convert the expressions:
  $$\frac{157}{50}\left(\frac{1}{6}\right)^{2}$$
- step2: Multiply the numbers:
  $$\frac{157}{1800}$$
The area of the circular sign is approximately $$ 0.0872 $$ square feet.

Now, let's calculate the cost of printing the circular sign:
$$ \text{Cost} = 0.0872 \times 23 $$

Let's calculate the cost.
Calculate the value by following steps:
- step0: Calculate:
  $$0.0872\times 23$$
- step1: Multiply the numbers:
  $$2.0056$$
The cost of printing the circular sign is approximately $2.01.

Therefore, the cost to print a circular sign with a radius of $$ 1:6 $$ feet is approximately $2.01.
The cost to print the circular sign is approximately $2.01.

How much will it cost to print a circular sign with a radius of \( 1: 6 \) feet if the printing company charges \( \$ 23 \) per square foot? Use \( A=\pi r^{2} \), where \( \pi \) is approximately 3.14 , (Round your answer to the nearest cent.) SUBMIT ANSWER

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