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What is the area of a circle with a radius of 1 foot?

A. [tex]\frac{1}{4} \pi t^2[/tex]
B. [tex]\frac{1}{2} \pi t^2[/tex]
C. [tex]\varepsilon t ^2[/tex]
D. [tex]2 \pi \pi^2[/tex]

Note: This question contains some irrelevant options. The correct formula for the area of a circle with radius [tex]\( r \)[/tex] is [tex]\( \pi r^2 \)[/tex]. Given [tex]\( r = 1 \)[/tex] foot, the correct area is [tex]\( \pi \)[/tex] square feet.

Sagot :

GinnyAnswer
To find the area of a circle with a radius of 1 foot, we use the formula for the area of a circle, which is:

[tex]\[ \text{Area} = \pi \times r^2 \][/tex]

Here, [tex]\( r \)[/tex] is the radius of the circle. Given that the radius [tex]\( r \)[/tex] is 1 foot, we substitute 1 into the formula for [tex]\( r \)[/tex]:

[tex]\[ \text{Area} = \pi \times 1^2 \][/tex]

Simplifying the expression inside the multiplication:

[tex]\[ \text{Area} = \pi \times 1 \][/tex]

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

Therefore, the area of a circle with a radius of 1 foot is:

[tex]\[ \pi \, \text{square feet} \][/tex]

In numerical terms, the value of [tex]\( \pi \)[/tex] is approximately 3.141592653589793.

Hence, the area of the circle is approximately:

[tex]\[ 3.141592653589793 \, \text{square feet} \][/tex]
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