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!!!HELP ASAP!!! Henry constructed circle A with a radius of 6 units. He then created a sector
as shown in the figure below. Which of the following expressions would help
him find the area of the shaded sector?

HELP ASAP Henry constructed circle A with a radius of 6 units He then created a sector as shown in the figure below Which of the following expressions would hel class=

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Respect3105

Answer:

Area of a sector is:

[tex]a = \frac{ \ \beta }{360}\pi \: r {}^{2} [/tex]

Now,we're solving it by using this formula:

[tex]a = \frac{90}{360} \pi \: 6 {}^{2} \\ a = \frac{1}{4} 36\pi \\ a = 9\pi[/tex]

But we only need the answer in uncompleted form thus the answer is:

[tex] \frac{90}{360} (36\pi)[/tex]

It's in the second option.

Good luck!

Intelligent Muslim,

From Uzbekistan.

The expressions would be  [tex]\frac{90}{360} (36\pi )[/tex].

We have given that,

radius=6 units.

angle= 90 degrees.

What is the formula for the area of the sector?

The area of a sector is

[tex]Area of the sector=\frac{\theta}{360} \pi r^{2}[/tex]

Now, we're solving it by using this formula,

We have given that r=6 units and angle theta=90 degrees.

[tex]Area\ of \ the \ sector \ = \frac{90^0}{360} (\pi )6^{2}\\Area\ of \ the \ sector \ =9\pi[/tex]

But we only need the answer in uncompleted form thus the answer is:

[tex]\frac{90}{360} (36\pi )[/tex]

The expressions would be  [tex]\frac{90}{360} (36\pi )[/tex].

Therefore option second is correct.

To learn more about the area of a sector visit:

https://brainly.com/question/22972014

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