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PtichkaEL [24]
3 years ago
15

find the area of the sector with a central angle of 60 and a radius of 5 inches rounded to the nearest tenth

Mathematics
1 answer:
gulaghasi [49]3 years ago
5 0
Sector area = (central angle / 360) * PI * radius^2
sector area = (60 / 360) * PI * 25
<span><span><span>sector area = 13.08996939 </span> square inches
</span> </span><span>sector area = 13.1 (rounded) </span><span>square inches

</span>



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Answer:

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Step-by-step explanation:

To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.

We are also given that the diameter is 28 inches.

Since arc length and area are proportional to the central angle, we can create the following equality:

angle of VYX/360 = arc length of VYX/circumference

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Explanation:

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We will apply the bsolute rule below

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By applying the concept, we will have

\begin{gathered} \lvert a+5\rvert=-5-a \\ a+5=-5-a,a+5=5+a \\ a+a=-5-5,a-a=5-5 \\ 2a=-10,0=0 \\ \frac{2a}{2}=\frac{-10}{2},0=0 \\ a=-5,0=0 \end{gathered}

Hence,

The final answer is

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