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What is the measure of the central angle that subtends an arc of length 5 cm in

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Question: What is the measure of the central angle that subtends an arc of length 5 cm in a circle of radius 10 cm?

Options:

  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 45 degrees

Correct Answer: 60 degrees

Solution:

The formula for the arc length is L = rθ, where θ is in radians. Thus, θ = L/r = 5/10 = 0.5 radians. Converting to degrees, θ = 0.5 * (180/π) ≈ 28.65 degrees, which is closest to 30 degrees.

What is the measure of the central angle that subtends an arc of length 5 cm in

Practice Questions

Q1
What is the measure of the central angle that subtends an arc of length 5 cm in a circle of radius 10 cm?
  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 45 degrees

Questions & Step-by-Step Solutions

What is the measure of the central angle that subtends an arc of length 5 cm in a circle of radius 10 cm?
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