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Home » D: To store energy in a magnetic field. - Network4

D: To store energy in a magnetic field. - Network4

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Indonesia men's U21 international footballers**Question:

📌 A circle is inscribed in a square with a side length of $a$. If the radius of the circle is $r$, find the ratio of the area of the circle to the area of the square.

📌 The side length of the square is $a$. Since the circle is inscribed, its diameter is equal to the side length of the square, so $2r = a$. Therefore, the radius $r = \frac{a}{2}$.

📌 The area of the circle is $\pi r^2 = \pi \left(\frac{a}{2}\right)^2 = \frac{\pi a^2}{4}$.

📌 The area of the square is $a^2$.

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

📌 \frac{\frac{\pi a^2}{4}}{a^2} = \frac{\pi}{4}

📌 Thus, the final answer is \(\boxed{\frac{\pi}{4}}\).

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