Math Ladder

Converting degrees and radians worksheets Grade 11

Convert angles between degrees and radians.

The front of the free converting degrees and radians worksheet

Free · Worked example · 34 problems · Answer key · US Letter

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How to do it

180° = π radians. Degrees to radians: multiply by π/180. Radians to degrees: multiply by 180/π.

330∘in radians=11π6330^{\circ}\quad \text{in radians} = \dfrac{11\pi }{6}
330×π180=11π6330 \times \dfrac{\pi }{180} = \dfrac{11\pi }{6}multiply by π/180

Example problems

  1. 5π6in degrees=\dfrac{5\pi }{6}\quad \text{in degrees} =
  2. 8π3in degrees=\dfrac{8\pi }{3}\quad \text{in degrees} =
  3. 570∘in radians=570^{\circ}\quad \text{in radians} =
  4. 600∘in radians=600^{\circ}\quad \text{in radians} =

Trigonometry

  1. Right triangle trigonometry: sin, cos and tan
  2. Special right triangles and exact trig values
  3. Converting degrees and radians
  4. The unit circle
  5. Amplitude and period
  6. The Pythagorean identity
  7. Simplifying trig expressions with identities
  8. Solving trigonometric equations
  9. The law of cosines
  10. The law of sines