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What is the length of an arc of a circle with a radius of 6 cm that subtends an

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Question: What is the length of an arc of a circle with a radius of 6 cm that subtends an angle of 60 degrees?

Options:

  1. 2π cm
  2. 6π/3 cm
  3. π cm
  4. 3π cm

Correct Answer: 2π cm

Solution: 

Arc length = (θ/360) * 2πr = (60/360) * 2π(6) = 2π cm.

What is the length of an arc of a circle with a radius of 6 cm that subtends an

Practice Questions

Q1
What is the length of an arc of a circle with a radius of 6 cm that subtends an angle of 60 degrees?
  1. 2π cm
  2. 6π/3 cm
  3. π cm
  4. 3π cm

Questions & Step-by-Step Solutions

What is the length of an arc of a circle with a radius of 6 cm that subtends an angle of 60 degrees?
  • Step 1: Identify the radius of the circle, which is given as 6 cm.
  • Step 2: Identify the angle that subtends the arc, which is given as 60 degrees.
  • Step 3: Use the formula for arc length: Arc length = (θ/360) * 2πr.
  • Step 4: Substitute the values into the formula: Arc length = (60/360) * 2π(6).
  • Step 5: Simplify the fraction 60/360 to get 1/6.
  • Step 6: Calculate 2π(6) to get 12π.
  • Step 7: Multiply (1/6) by 12π to get 2π.
  • Step 8: Conclude that the length of the arc is 2π cm.
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