Answered

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The circle is inscribed in the square. Find the area of the shaded region.

The Circle Is Inscribed In The Square Find The Area Of The Shaded Region class=

Sagot :

We can solve this by calculating the area of the square and subtracting the area of the inscribed circle. The area of the square is:

[tex]Square=10\cdot10=100cm^2[/tex]

The formula for the area of a circle is:

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

The radius of the inscribed circle is half the length of the side of the square, then, the radius is r = 5 cm

[tex]Circle=\pi5^2=25\pi\text{ }cm^2[/tex]

Now, we rest:

[tex]Square-Circle=100cm^2-25\pi cm^2\approx21.46cm^2[/tex]

The answer is 21.46cm²

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