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Question

If an angle θ=2 radians, what percentage of the full circle does it represent?

This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is

31.83%

A full circle measures \(2\pi\) radians, approximately 6.2832 radians. The percentage represented by 2 radians is \((2/6.2832) \times 100\), which is approximately 31.83%.

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Similar Questions

  1. A sector of radius 14 cm has an area of $154 \text{ cm}^2$. Find the angle of the sector.
  2. In a circle of radius r, a chord subtends an angle $\theta$ (in radians) at the center. Which expression represents the length of the minor arc?
  3. The angle subtended by an arc at the center is $72^\circ$, and its length is $22\text{ cm}$. Find the radius of the circle.
  4. An angle of $\frac{\pi}{2}$ radians represents what percentage of a full circle?

Important Questions from Circular Measure of Angles

  1. If sec 4θ = cosec (θ + 20°), then θ is equal to:

  2. The value of sin 260° cos 245° + 2 tan 260° - cosec 230° is equal to:

  3. Find the value of sin 4 30° + cos 4 30° - sin 25° cos 65° - sin 65° cos25°.

  4. \(\left( {\frac{{2\tan 30^\circ }}{{1 - {{\tan }^2}\;30^\circ }}} \right){\rm{}} = {\rm{}}?\)
  5. Find the value of cot 25°cot 35°cot 45°cot 55°cot 65°.

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