Answer :
1. Circumference = 8cm
Diameter = ?
[tex]\begin{gathered} \text{Circumference of a circle = }\pi d \\ 8\text{ = 3.142d} \\ \text{Divide through by 3.142} \\ d\text{ = }\frac{8}{3.142} \\ d\text{ = 2.546} \\ d\text{ = 2.5} \end{gathered}[/tex]2. circunference = 24.5m
Diameter d = ?
[tex]\begin{gathered} \text{Circumference = }\pi d \\ 24.5\text{ = 3.142d} \\ d\text{ = }\frac{24.5}{3.142} \\ d\text{ = 7.79} \\ d\text{ = 7.8} \end{gathered}[/tex]3. Circunference = 82ft
Diameter d = ?
[tex]\begin{gathered} \text{Circunference = }\pi d \\ 82\text{ = 3.14d} \\ d\text{ = }\frac{82}{3.14} \\ d\text{ = 26.11} \\ d\text{ = 26 nearest whole number} \end{gathered}[/tex]4.
Circumference = 25 ft
Area A = ?
[tex]\begin{gathered} \text{Circumference = }2\pi r \\ 25\text{ = }3.14\text{ x 2 x r} \\ r\text{ = }\frac{25}{6.28} \\ r\text{ = 3.98 = 4 ft} \\ \\ \text{Area = }\pi r^2 \\ \text{ = 3.14 x 4}^2 \\ =\text{ 3.14 x 16} \\ =50.24ft^2 \end{gathered}[/tex]5. Large Pizza
a. Diameter d = 14
radius r = 14/2 = 7
[tex]\begin{gathered} \text{Area = }\pi r^2 \\ =3.14x7^2 \\ =\text{ 3.14 x 49} \\ =\text{ 153.86} \\ =\text{ 154} \end{gathered}[/tex]b. Medium Pizza
Diameter = 11
radius r = 11/2 = 5.5
[tex]\begin{gathered} \text{Area = }\pi xr^2 \\ =\text{ 3.14 x 5.5 x 5.5} \\ =\text{ 94.985} \\ =\text{ 95} \end{gathered}[/tex]c. = 154 - 95
= 59
