Question
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How much will it cost to print a circular sign with a radius of feet if the printing company charges per square foot? Use , where is approximately 3.14 , (Round your answer to the nearest cent.)
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Ask by Thornton Craig. in the United States
Jan 13,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The cost to print the circular sign is approximately $2.01.

Solution

To find the cost of printing a circular sign with a radius of 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 = feet
  • Cost per square foot = $23
First, let’s calculate the area of the circle using the formula , where is approximately 3.14.
The radius of the circular sign is feet, which can be converted to a decimal by dividing 1 by 6:
Now, we can calculate the area of the circle:
Next, we will calculate the cost of printing the circular sign by multiplying the area by the cost per square foot:
Let’s calculate the cost.
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Convert the expressions:
  • step2: Multiply the numbers:

    The area of the circular sign is approximately square feet.
Now, let’s calculate the cost of printing the circular sign:
Let’s calculate the cost.
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Multiply the numbers:

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

Answered by UpStudy AI and reviewed by a Professional Tutor

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Bonus Knowledge

To find the area of the circular sign, you can use the formula . With a radius of feet, the area calculates as:
Now, to find the cost, multiply the area by the cost per square foot:
Therefore, the cost to print the circular sign is approximately .

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