Circle M has the central angle ∠AMB with a measure of 63°. Which of the following statements does not represent the circle M?is a major arc=63°is a minor arcThe center of the circle is point M.
Question
Circle M has the central angle ∠AMB with a measure of 63°. Which of the following statements does not represent the circle M?is a major arc=63°is a minor arcThe center of the circle is point M.
Solution
The statement that does not represent the circle M is "is a major arc=63°".
Here's why:
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In a circle, a major arc is an arc that is larger than a semicircle. A semicircle is 180°, so a major arc must be more than 180°. Since 63° is less than 180°, it cannot be a major arc.
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"is a minor arc" is a correct statement. A minor arc in a circle is an arc that is smaller than a semicircle. Since 63° is less than 180°, it is a minor arc.
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"The center of the circle is point M" is also a correct statement. The problem states that it is circle M, which implies that M is the center of the circle.
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