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What is the measure of the angle subtended by an arc of a circle at the center i

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Question: What is the measure of the angle subtended by an arc of a circle at the center if the arc length is 10 units and the radius is 5 units?

Options:

  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Correct Answer: 90 degrees

Solution: 

Arc length = rθ, where θ is in radians. Thus, 10 = 5θ, so θ = 2 radians. Converting to degrees: θ = 2 * (180/π) ≈ 114.6 degrees.

What is the measure of the angle subtended by an arc of a circle at the center i

Practice Questions

Q1
What is the measure of the angle subtended by an arc of a circle at the center if the arc length is 10 units and the radius is 5 units?
  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Questions & Step-by-Step Solutions

What is the measure of the angle subtended by an arc of a circle at the center if the arc length is 10 units and the radius is 5 units?
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