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2 years ago

19.2 ft by 9.7 what is the area of the room

Mathematics

1 answer:

pav-90 [236]2 years ago

5 0

Answer:

Step-by-step explanation:

A = L * W

A = 19.2 ft * 9.7 ft

A = 186.24 ft^2

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PSYCHO15rus [73]

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2 years ago

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Answer:

$144\pi\ un^2.$

Step-by-step explanation:

In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.

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1. Find the area of the whole circle:

$A_{circle}=\pi r^2=\pi \cdot 18^2=324\pi \ un^2.$

2. Note that the whole circle is determined by the full rotation angle with measure $2\pi$ radians. So,

$\begin{array}{cc}\text{Angle}&\text{Area}\\ \\2\pi &324\pi \\ \\\dfrac{8\pi }{9}&A_{sector}\end{array}$

So, write a proportion:

$\dfrac{2\pi}{\frac{8\pi}{9}}=\dfrac{324\pi}{A_{sector}}$

Cross multiply

$2\pi \cdot A_{sector}=324\pi \cdot \dfrac{8\pi }{9}\\ \\A_{sector}=162\pi \cdot \dfrac{8}{9}=144\pi\ un^2.$

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