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Home » Substitute the values of \( a \), \( b \), and \( c \): - RTA

Substitute the values of \( a \), \( b \), and \( c \): - RTA

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 Ratio of Areas:

📌 The ratio of the area of the circle to the area of the square is:

📌 \text{Ratio} = \frac{A_{\text{circle}}}{A_{\text{square}}} = \frac{\pi r^2}{4r^2} = \frac{\pi}{4}

📌 Thus, the ratio of the area of the circle to the area of the square is \(\boxed{\frac{\pi}{4}}\).

📌 A computational evolutionary ecology AI researcher is analyzing the growth patterns of circular plant colonies in Patagonia. One colony grows to form a circle with radius \( x \), while another expands to form an octagon with each side equal to \( x \). What is the ratio of the area of the circle to the area of the octagon?

📌 To find the ratio of the area of the circle to the area of the octagon, we calculate both areas separately.

📌 The formula for the area of a circle is:

📌 A_{\text{circle}} = \pi x^2

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