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A circle with radius of [2/3 cm] sits inside a [11 cm x 12 cm] rectangle. What is the area of the shaded region?

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Final answer:

To find the area of the shaded region, subtract the area of the circle from the area of the rectangle.

Step-by-step explanation:

To find the area of the shaded region, we need to subtract the area of the circle from the area of the rectangle. The area of the rectangle is found by multiplying its length (12 cm) by its width (11 cm), which gives us an area of 132 cm². The area of the circle is found by using the formula A = πr², where r is the radius. Since the radius is 2/3 cm, we can calculate the area of the circle as A = π(2/3)². Simplifying this equation gives us A ≈ 1.41 cm². Therefore, the area of the shaded region is approximately 132 cm² - 1.41 cm² = 130.59 cm².

Learn more about Area of shapes here:

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User Chris Frost
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