Answer:
D. 5 inches
Step-by-step explanation:
Given:
A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.
That means complete angle having 360° is divided into 3 section.
The central angle formed by the peach cobbler is 105 degrees.
The central angle formed by the pasta is 203 degrees.
Question asked:
What is the approximate length of the arc of the section containing the peas?
Solution:
The central angle formed by the peas = 360° - 105° - 203°
= 52°
[tex]Ridius,r=\frac{Dameter}{2} =\frac{12}{2} =6\ inches[/tex]
As we know:
[tex]Length\ of\ arc=2\pi r\times\frac{\Theta }{360}[/tex]
[tex]=2\times\frac{22}{7} \times6\times\frac{52}{360} \\ \\ =\frac{13728}{2520} \\ \\ =5.44\ inches[/tex]
Therefore, the approximate length of the arc of the section containing the peas are 5 inches.
