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Find the circumference and the area of a circle with a radius of 9 ft.

Use the value 3.14 for [tex]\pi[/tex], and do not round your answers. Be sure to include the correct units in your answers.

Radius: 9 ft

Circumference: __________ ft

Area: __________ ft²

Sagot :

GinnyAnsweridn
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
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