To find the circumference and area of a circle with a radius of 9 feet, we need to follow these steps:
### Step-by-Step Solution:
#### Given:
- Radius ([tex]\( r \)[/tex]): 9 feet
- Value of [tex]\(\pi\)[/tex]: 3.14
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### Step 1: Calculating the Circumference
The formula for the circumference ([tex]\(C\)[/tex]) of a circle is given by:
[tex]\[ C = 2\pi r \][/tex]
Now, substitute the provided values into the formula:
[tex]\[ C = 2 \times 3.14 \times 9 \][/tex]
Let's perform the multiplication step-by-step:
1. [tex]\( 2 \times 3.14 = 6.28 \)[/tex]
2. [tex]\( 6.28 \times 9 = 56.52 \)[/tex]
So, the circumference of the circle is:
[tex]\[ C = 56.52 \text{ feet} \][/tex]
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### Step 2: Calculating the Area
The formula for the area ([tex]\(A\)[/tex]) of a circle is given by:
[tex]\[ A = \pi r^2 \][/tex]
Now, substitute the provided values into the formula:
[tex]\[ A = 3.14 \times (9)^2 \][/tex]
First, calculate [tex]\( 9^2 \)[/tex]:
[tex]\[ 9^2 = 81 \][/tex]
Now, complete the multiplication:
[tex]\[ A = 3.14 \times 81 = 254.34 \][/tex]
So, the area of the circle is:
[tex]\[ A = 254.34 \text{ square feet} \][/tex]
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### Summary:
- Circumference: 56.52 feet
- Area: 254.34 square feet
