Answer: [tex]1267.18yd^2[/tex]
Step-by-step explanation:
[tex]Formula: \pi r(r+\sqrt{h^2+r^2} )[/tex]
We need;
[tex]\pi = 3.14\\r=?\\h=18yd[/tex]
We don't have the radius, but we do have the diameter. A diameter is twice the radius. Therefore, we can divide the diameter by 2 in order to obtain the radius.
[tex]\frac{d}{2}= \frac{24}{2}=12yd[/tex]
Now plug this info into the formula.
[tex](3.14)(12yd)[(12yd)+\sqrt{(18yd)^2+(12yd)^2} ][/tex]
Let's solve the square root first.
[tex](3.14)(12yd)[(12yd)+\sqrt{324yd^2+144yd^2} ][/tex]
[tex](3.14)(12yd)[(12yd)+\sqrt{468yd^2} ][/tex]
[tex](3.14)(12yd)[(12yd)+\sqrt{468yd^2} ]\\(3.14)(12yd)(12yd+21.63yd)[/tex]
Now solve the sum
[tex](3.14)(12yd)(33.63yd)\\[/tex]
Multiply
[tex]1267.18yd^2[/tex]
