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Komok [63]
3 years ago
9

Which of these is the area of a sector of a circle with r = 18”, given that its arc length is 6π?

Mathematics
2 answers:
kaheart [24]3 years ago
6 0

Answer:

169.65\text{ inch}^2  

Step-by-step explanation:

We have been given that the radius of our given circle is 18 inches and the arc length that corresponds to sector is 6 pi.

To find the area of our given sector we will use formula:

\text{Area of sector}=\pi r^2*\frac{\text{Arc length}}{\text{Circumference of circle}}

Upon substituting our given values in above formula we will get,

\text{Area of sector}=\pi*18^2*\frac{6\pi}{2\pi*18}

\text{Area of sector}=\pi*324*\frac{1}{6}

\text{Area of sector}=\pi*54

\text{Area of sector}=169.64600329\approx 169.65

Therefore, the area of our given sector is 169.65 square inches.

Igoryamba3 years ago
4 0
22/7*18^2*6π/2π*18 = 169.65
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