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The circle above with center O has a circumference of 30. If angle AOB measures 120°. What is the length of minor arc AB?
  • a)
    5
  • b)
    6
  • c)
    10
  • d)
    20
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The circle above with center O has a circumference of 30. If angle AOB...
If points A and B are on the circle:

In this case, we are looking for the length of  so let's call that x. We know that the measure of the interior angle is 120°, and that the circumference of the circle is 30:

Cross multiply: 360x = 3600
Divide both sides by 360: x = 10
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The circle above with center O has a circumference of 30. If angle AOB measures 120°. What is the length of minor arc AB?a)5b)6c)10d)20Correct answer is option 'C'. Can you explain this answer?
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