Answer:
7.1 ft^2
Step-by-step explanation:
d= 3 ft radius= 1.5 ft
A= πr^2
A= π(1.5 ft)^2
A= 7.1 ft^2
\text{Find radius from given diameter:}
Find radius from given diameter:
\color{blue}{d=3}\rightarrow\color{red}{r=1.5}
d=3→r=1.5
The radius is half the diameter
\text{Visual representation:}
Visual representation:
diameter = 3 ft
radius = 1.5 ft
\text{Area of a circle formula:}
Area of a circle formula:
\color{purple}{A}= \pi \color{red}{r}^{2}
A=πr
2
\piπ times the radius squared
\text{Substitute radius into formula:}
Substitute radius into formula:
\color{purple}{A}=
A=
\,\,\pi \cdot \color{red}{1.5}^{2}
π⋅1.5
2
\color{purple}{A}=
A=
\,\,\pi \cdot 2.25
π⋅2.25
Square 1.5
\color{purple}{A}=
A=
\,\,2.25\pi
2.25π
Commutative property of multiplication
\color{purple}{A}=
A=
\,\,7.06858347...
7.06858347...
Multiply, using the π button on your calculator
\color{purple}{A}=
A=
\,\,7.1
7.1
Round to the nearest tenth
Area is the space taken up by the circle:
radius = 1.5 ft
Area = 7.1 ft²
\text{The \color{purple}{area} of the circle is 7.1} \text{ ft}^{2}.
The area of the circle is 7.1 ft ^2.
Your Solution:
A= 7.1 \text{ ft}^{2}
A=7.1 ft ^2
