![\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}](https://img.qammunity.org/2023/formulas/mathematics/high-school/17hg1hm68mzdreq3t10du1pfcs5slnrnak.png)
- Given - a circle with diameter = 9 ft
- To find - area of the given circle
Formula -
![\qquad\quad\bold\pink{area \: of \: circle= \pi \: r {}^(2) }](https://img.qammunity.org/2023/formulas/mathematics/high-school/hplyg6ds9tgd6x60kr0a5ffatc7qxs3hkm.png)
now , we observe that we're not provided with the radius of the circle ! hence , let's find the radius of the circle now ~
![\qquad\quad{radius = (diameter)/(2) } \\ \\ \longrightarrow \: radius = (9)/(2) = 4.5 \: ft](https://img.qammunity.org/2023/formulas/mathematics/high-school/ud7w70lpzp4n4jp0msw7wv2r25jrmqoq51.png)
substituting the value of radius in the formula used to calculate area -
![area = \pi \: r {}^(2) \\ \\ \longrightarrow \: (22)/(7) * 4.5 * 4.5 \\ \\ \longrightarrow \: (445.5)/(7) \\ \\ \longrightarrow \: 63.6 \: ft {}^(2) \: (approx.)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zqu9akc1bz15wda1zd93khpa2yk09xa4o5.png)
hope helpful ~