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Question
identify the highlighted part of circle o or p shown below.
answer
secant
central angle
diameter
center
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A central angle is an angle whose vertex is at the center of a circle. In the given diagram, the angle with vertex \(O\) (the center of circle \(O\)) formed by two radii (\(OC\) and \(OM\)) is a central angle. A secant is a line that intersects a circle at two points (e.g., line \(H - M - N - 2\) could be considered in part as a secant - related but not the highlighted part here). A diameter is a straight line passing through the center of a circle (e.g., if there was a line like \(H - M\) through \(O\) and extending to the other side of the circle, it could be a diameter). The center is a point (\(O\) or \(P\) are centers). Since the highlighted part is an angle with vertex at the center of the circle, it matches the definition of a central angle.
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central angle