Given:
The diameter of the circle is 6.6m.
To find:
The area and the circumference of the circle.
Step-by-step explanation:
The radius of the circle is,
![\begin{gathered} r=(d)/(2) \\ r=(6.6)/(2) \\ r=3.3m \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5uls47ppvg4ssugzzak8x5lo2ti8l8nd0v.png)
Using the formula of the area of the circle is,
![\begin{gathered} A=\pi r^2 \\ A=\pi(3.3)^2 \\ A=10.89\pi m^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9tce6av8jbdp9cjwby9d65qeh529rhhlvj.png)
Using the formula for the circumference of the circle is,
![\begin{gathered} C=2\pi r \\ C=2\pi(3.3) \\ C=6.6\pi m \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/dva5tm35mf21haisxj5corhwqr0pxj0uu1.png)
Final answer:
The formula of the area of the circle is,
![A=10.89\pi m^2](https://img.qammunity.org/2023/formulas/mathematics/college/ukpn0v2qr0ofdhazg1e68wl53clmgv6ii1.png)
The formula for the circumference of the circle is,
![C=6.6\pi m](https://img.qammunity.org/2023/formulas/mathematics/college/yde1d2rztpb6a86sqt38majcd0t800zygn.png)