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Chartreuse Boutique Exclusive: The Color That’s Leaving Everyone Speechless—Shop Now! - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 A micropaleontologist is studying a circular microfossil with a radius of 5 cm. If a concentric circular groove of width 1 cm is carved through the center, what is the area of the remaining microfossil material in square centimeters?

📌 The original area of the circular microfossil is calculated using the formula for the area of a circle:

📌 where \( r = 5 \) cm. Thus, the original area is:

📌 A = \pi (5)^2 = 25\pi \text{ square centimeters.}

📌 The groove is 1 cm wide and concentric, effectively reducing the radius of the remaining material to \( 5 - 1 = 4 \) cm. The area of the reduced circle (remaining material) is:

📌 A_{\text{remaining}} = \pi (4)^2 = 16\pi \text{ square centimeters.}

📌 Therefore, the area of the remaining microfossil material is:

📌 \boxed{16\pi}

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