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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