Question
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.)
SUBMIT ANSWER
SUBMIT ANSWER
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:
Calculate the value by following steps:
- step0: Calculate:
- step1: Convert the expressions:
- step2: Multiply the numbers:
The area of the circular sign is approximatelysquare feet.
Now, let’s calculate the cost of printing the circular sign:
Let’s calculate the cost.
Calculate the value by following steps:
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
.