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What is the area of a circle whose radius is [tex]$6 \text{ ft}$[/tex]?

A. [tex]6 \pi \text{ ft}^2[/tex]
B. [tex]9 \pi \text{ ft}^2[/tex]
C. [tex]36 \pi \text{ ft}^2[/tex]
D. [tex]72 \pi \text{ ft}^2[/tex]

Sagot :

GinnyAnsweridn
To find the area of a circle, you can use the formula:

[tex]\[ \text{Area} = \pi \times (\text{radius})^2 \][/tex]

Given that the radius of the circle is \( 6 \) feet, you substitute the radius into the formula:

[tex]\[ \text{Area} = \pi \times (6)^2 \][/tex]

First, calculate the square of the radius:

[tex]\[ (6)^2 = 36 \][/tex]

Then multiply this result by \(\pi\):

[tex]\[ \text{Area} = \pi \times 36 = 36 \pi \][/tex]

So, the area of the circle with a radius of 6 feet is:

[tex]\[ \boxed{36 \pi \, \text{ft}^2} \][/tex]

Among the given options:
- \( 6 \pi \, \text{ft}^2 \)
- \( 9 \pi \, \text{ft}^2 \)
- \( 36 \pi \, \text{ft}^2 \)
- \( 72 \pi \, \text{ft}^2 \)

The correct choice is:

[tex]\[ 36 \pi \, \text{ft}^2 \][/tex]
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