What is the length of an arc of a circle with a radius of 6 cm and a central ang

Practice Questions

Q1
What is the length of an arc of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14) (2020)
  1. 6.28 cm
  2. 3.14 cm
  3. 12.56 cm
  4. 9.42 cm

Questions & Step-by-Step Solutions

What is the length of an arc of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14) (2020)
  • Step 1: Identify the radius of the circle, which is given as 6 cm.
  • Step 2: Identify the central angle in degrees, 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) * 2 * 3.14 * 6.
  • Step 5: Simplify the fraction 60/360 to get 1/6.
  • Step 6: Calculate 2 * 3.14 * 6, which equals 37.68.
  • Step 7: Multiply 1/6 by 37.68 to find the arc length: Arc length = 37.68 / 6 = 6.28 cm.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely