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Home » heta_1 - heta_2 \equiv 60^\circ \pmod180^\circ, - jntua results

heta_1 - heta_2 \equiv 60^\circ \pmod180^\circ, - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Set \( \frac{1}{3}\pi r^2 \times 12 = 100\pi \).

📌 Simplify: \( 4\pi r^2 = 100\pi \).

📌 Divide by \( 4\pi \): \( r^2 = 25 \).

📌 Take the square root: \( r = 5 \) cm.

📌 The sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = \frac{n}{2}(2a + (n-1)d) \). If \( a = 3 \), \( d = 2 \), and \( S_n = 110 \), find \( n \).

📌 Substitute into the formula: \( \frac{n}{2}(2 \times 3 + (n-1) \times 2) = 110 \).

📌 Simplify: \( \frac{n}{2}(6 + 2n - 2) = 110 \).

📌 Further simplify: \( \frac{n}{2}(4 + 2n) = 110 \).

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