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romanna [79]
3 years ago
14

Which expression represents the area of the shaded region?

Mathematics
1 answer:
irina1246 [14]3 years ago
5 0

Given:

A circle of radius r inscribed in a square.

To find:

The expression for the area of the shaded region.

Solution:

Area of a circle is:

A_1=\pi r^2

Where, r is the radius of the circle.

Area of a square is:

Area=a^2

Where, a is the side of the square.

A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

a=2a

So, the area of the square is:

A_2=(2r)^2

A_2=4r^2

Now, the area of the shaded region is the difference between the area of the square and the area of the circle.

A=A_2-A_1

A=4r^2-\pi r^2

A=4r^2-\pi r^2

A=r^2(4-\pi )

Therefore, the correct option is (a).

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6 0
3 years ago
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Vitek1552 [10]

Answer:

  • C. 0.08889

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3 years ago
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2 years ago
Factorize: a^4+2xa³+a²x²-y^4
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Answer:

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Step-by-step explanation:

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Answer:

A table that has (0,0), (-1,1), (-4, 2) and undefined for any positive x value

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As for the answer it doesn't look like any of those shown.  The first one is close, but the x values would need to swap their signs.  

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3 years ago
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