Measurement of an angle can be represented by Degrees or Radians, which are two different measuring systems for angles. The value 180° is equivalent to π radians. We can convert between radian and degree using the following formula.
t=πx/180° x=180°t/π
Question 1: Convert 30° into radians. Write in terms of π.
Answer: π/6
Explanation: Plug the value in the formula.
Question 2: Convert 120° into radians. Write in terms of π
Answer: 2π/3
Explanation: Plug the value in the formula.
Question 3: In a circle, having a center at O, ∠BOD=150°. Write this measure in terms of radians.
Answer: 5π/6
Explanation: Plug the value of the angle in radians.
Question 4: Convert 75° into radians. Use π=3.14.
Answer: 1.3
Explanation: Plug the value of the angle in radians.
Question 5: Convert 440° into radians. Use π=3.14.
Answer: 7.68
Explanation: Plug the value of the angle in radians.
Question 6: In a circle, having a center at O, AOB=150°. Write this measure in terms of radians.
Answer: 5π/6
Explanation: Plug the value of the angle in radians.
Question 7: Write 286.62° in terms of radians. Use π=3.14.
Answer: 5 Radians
Explanation: Plug the value of the angle in radians.
Question 8: Write 315° in terms of radians.
Answer: 7π/4
Explanation: Plug the value of the angle in radians.
Question 9: Write 225° in terms of radians.
Answer: 5π/4
Explanation: Plug the value of the angle in radians.
Question 10: Write 150° in terms of radians.
Answer: 5π/6
Explanation: Plug the value of the angle in radians.
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