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Question

Convert \(\frac{2\pi}{3}\) radians to degrees.

This question was previously asked in
SSC CGL 2025 Tier 2 Paper 1 Question Paper (19-Jan-2026)
The correct answer is

\(120^\circ\)

The link between the two angle measures is \(\pi \text{ radians} = 180^\circ\). So to convert radians to degrees we multiply by \(\frac{180^\circ}{\pi}\).

Apply this to the given angle: \(\frac{2\pi}{3} \times \frac{180^\circ}{\pi}\).

The \(\pi\) cancels, leaving \(\frac{2 \times 180^\circ}{3} = \frac{360^\circ}{3} = 120^\circ\).

Hence, \(\frac{2\pi}{3}\) radians equals \(120^\circ\).

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