A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. The central angle formed by the peach cobbler is 105 degrees. The central angle formed by…

Question

asked Oct 1, 2021 216k views

1 Answer

VKen · Answer 1 · 2021-10-07T10:01:32+0000

Answer:

D. 5 inches

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°

$Ridius,r=(Dameter)/(2) =(12)/(2) =6\ inches$

As we know:

$Length\ of\ arc=2\pi r*(\Theta )/(360)$

$=2*(22)/(7) *6*(52)/(360) \\ \\ =(13728)/(2520) \\ \\ =5.44\ inches$

Therefore, the approximate length of the arc of the section containing the peas are 5 inches.