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The circle above with center O has a circumference of 36. What is the length of minor arc ?
  • a)
    9
  • b)
    12
  • c)
    18
  • d)
    36
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The circle above with center O has a circumference of 36. What is the ...
A circle has 360 degrees of arc. In the circle shown, O is the center of the circle and angle AOC is a central angle of the circle. From the figure, the two diameters that meet to form angle AOC are perpendicular, so the measure of angle AOC is 90°. This central angle intercepts minor arc AC, meaning minor arc AC has 90° of arc. Since the circumference (length) of the entire circle is 36, the length of minor arc AC is 
Choices B, C, and D are incorrect. The perpendicular diameters divide the circumference of the circle into four equal arcs; therefore, minor arc AC is 1/4 of the circumference. However, the lengths in choices B and C are, respectively, 1/3 and 1/2 the circumference of the circle, and the length in choice D is the length of the entire circumference. None of these lengths is 1/4 the  circumference.
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The circle above with center O has a circumference of 36. What is the length of minor arc?a)9b)12c)18d)36Correct answer is option 'A'. Can you explain this answer?
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