Given:
The diameter of the circle is, d = 25 ft.
Required:
We need to find the rado\ius, circumference, and area of the circle.
Step-by-step explanation:
![W\text{e know that radius =}\frac{diam\text{ter }}{2}](https://img.qammunity.org/2023/formulas/mathematics/college/f622xixvmehgd9xz53z79c1yawdobwrkkv.png)
Substitute diameter =25 in the formula.
![radius=(25)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/ibljo0vmlfm70udul9deflzaujpsinapgh.png)
![radius=12.5\text{ feet.}](https://img.qammunity.org/2023/formulas/mathematics/college/bxvs4n2mg04djucawuknuo3jsvzjccl2tw.png)
Consider the formula to find the circumference of the circle.
![C=2\pi r](https://img.qammunity.org/2023/formulas/mathematics/high-school/noytl63lm1q06t23qsdkycir68uwxrmxzb.png)
Substitute r =12.5 in the formula.
![C=2*3.14*12.5](https://img.qammunity.org/2023/formulas/mathematics/college/itmg6e2nuycuav8or9xbnfz5ie76gyytz1.png)
![C=78.50\text{ feet}](https://img.qammunity.org/2023/formulas/mathematics/college/rs88qsjql2j65fidalqdls3wvsmzbfy39q.png)
Consider the formula to find the area of the circle.
![A=\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/lcgfavc89jro4qntamn2b9gfliomu1jwuf.png)
Substitute r =12.5 in the formula.
![A=3.14*(12.5)^2](https://img.qammunity.org/2023/formulas/mathematics/college/vkg1tupfloudb8eqouscx4v481nw2gue12.png)
![A=490.63\text{ feet}^2](https://img.qammunity.org/2023/formulas/mathematics/college/kvd5udlffxb26uamq47ssd9asbhkpzk9rq.png)
Final answer:
![radius=12.5\text{ feet.}](https://img.qammunity.org/2023/formulas/mathematics/college/bxvs4n2mg04djucawuknuo3jsvzjccl2tw.png)
![circumference=78.50\text{ feet}](https://img.qammunity.org/2023/formulas/mathematics/college/whc65tova4ntaafjjxmzaq0hoogedli6wt.png)
![area\approx490.63\text{ feet}^2](https://img.qammunity.org/2023/formulas/mathematics/college/nukmydo6l43bwl3lk8d6alxcjswmydja77.png)