Answer:
63.585 square inches.
Step-by-step explanation:
We have been given that Johanna is selling cheese at the farmers’ market. One wheel of cheese has a diameter of 9 inches.
We know that wheel of cheese is in form of circle, so we will use area of circle formula to solve our given problem.
[tex]\text{Area of circle}=\pi r^2[/tex], where, r represents radius of circle.
We know that diameter is 2 times radius:
[tex]d=2\times r[/tex]
[tex]9=2\times r[/tex]
[tex]\frac{9}{2}=\frac{2\times r}{2}[/tex]
[tex]4.5=r[/tex]
[tex]\text{Area of of the wheel of cheese}=3.14*(\text{4.5 in})^2[/tex]
[tex]\text{Area of of the wheel of cheese}=3.14*20.25\text{ in}^2[/tex]
[tex]\text{Area of of the wheel of cheese}=63.585\text{ in}^2[/tex]
Therefore, the area of the wheel of cheese is 63.585 square inches.
