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In a circle with a radius of 10 cm, what is the length of an arc that subtends a

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Question: In a circle with a radius of 10 cm, what is the length of an arc that subtends a central angle of 60 degrees?

Options:

  1. 10.47 cm
  2. 6.00 cm
  3. 17.45 cm
  4. 5.24 cm

Correct Answer: 10.47 cm

Solution: 

Arc length = (θ/360) * 2πr = (60/360) * 2π(10) = (1/6) * 20π = 10.47 cm.

In a circle with a radius of 10 cm, what is the length of an arc that subtends a

Practice Questions

Q1
In a circle with a radius of 10 cm, what is the length of an arc that subtends a central angle of 60 degrees?
  1. 10.47 cm
  2. 6.00 cm
  3. 17.45 cm
  4. 5.24 cm

Questions & Step-by-Step Solutions

In a circle with a radius of 10 cm, what is the length of an arc that subtends a central angle of 60 degrees?
  • Arc Length Calculation – The formula for calculating the length of an arc in a circle based on the radius and the central angle.
  • Understanding Degrees in a Circle – Recognizing that a full circle is 360 degrees and how to apply this in calculations.
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