Answered

Carpet is to be laid in a room that is in the form of
acircular sector with a central angle of 105o. If
thelength (radius) of the room is 80 feet, what is the area of
thecarpet to be laid?

Answer :

pedrocarratore

Answer:

5,864.31 ft²

Step-by-step explanation:

The area of a full circle is given by:

[tex]A_C=\pi r^2[/tex]

Since the room is a circular sector with a central angle of 105 degrees and knowing that a circle has a central angle of 360 degrees, the area of the room is:

[tex]A_R=\frac{105}{360} \pi r^2=\frac{105}{360} \pi 80^2\\A_R = 5,864.31\ ft^2[/tex]

The area of  the carpet to be laid is 5,864.31 ft².

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