[tex]\begin{gathered} \text{Area}_{Pi\text{zza}}=201.06in^2 \\ \text{angle}_{1\text{ slice}}=45\text{ degre}es \\ Length(crust)=50.26\text{ inches} \end{gathered}[/tex]
Explanation
Step 1
Let
Step 2
A. What is the area of a 16 inch pizza?
the area of a circle is given by.
[tex]\begin{gathered} \text{Area}_{circle}=\pi\cdot(\frac{diameter^2}{4}) \\ \text{Let} \\ \text{diameter}=16\text{ inches} \\ \text{replace} \\ \text{Area}_{circle}=\pi\cdot(\frac{16^2}{4}) \\ \text{Area}_{circle}=\pi64In^2 \\ \text{Area}_{Pi\text{zza}}=201.06in^2 \end{gathered}[/tex]
Step 3
B. What is the measurement of a central angle for one slice of pizza
[tex]\begin{gathered} as\text{ the whole circle is 360 degr}ees\text{ , the value for the angle of one slice is} \\ \text{angle}_{1\text{ slice}}=\frac{360\text{ degr}ees}{8}=45\text{ degre}es \\ \text{angle}_{1\text{ slice}}=45\text{ degre}es \end{gathered}[/tex]
Step 4
C. What is the length of the entire crust of the pizza?
this length is called Circumference, you can find the Circumference of a circle using:
[tex]\begin{gathered} Circumference=\pi\cdot diameter \\ replace \\ Circumference=\pi\cdot16\text{ inches} \\ \text{Circumference}=50.26\text{ inches} \\ lengthoftheentirecrust=50.26\text{ inches} \end{gathered}[/tex]
Step 5
D. What is the length of the crust around of two slices of the pizza?
then,The arc length (D) is:
L = θ × r (when θ is in radians)
A)convert 90 degrees into radians
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