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Explain why the area of the shaded region is 100-25π.

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User Xmetal
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Final answer:

The area of the shaded region is 100 - 25π.

Step-by-step explanation:

The shaded region in a given diagram can be determined using the formula for the area of a circle and the area of a square. If the area of the square is 100, then each side of the square is 10 (since 10 x 10 = 100). The diameter of the circle is equal to the side length of the square, which is 10. The formula for the area of a circle is A = πr², where r is the radius. So, the radius of the circle is 10/2 = 5. Substituting this value into the formula, we have A = π(5)² = 25π. Therefore, the area of the shaded region is 100 - 25π.

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User Nico Rikken
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