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An arc of a circle is called aif the end...

An arc of a circle is called a_____if the ends of the arc on the ends of a diameter.

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To solve the question, we need to understand the definition of an arc in relation to a circle and its diameter. ### Step-by-Step Solution: 1. **Understanding the Circle**: - Begin by recalling that a circle is defined as the set of all points that are equidistant from a fixed point known as the center. 2. **Identifying the Diameter**: - A diameter of a circle is a straight line segment that passes through the center of the circle and has its endpoints on the circle itself. It divides the circle into two equal halves. 3. **Defining the Arc**: - An arc is a portion of the circumference of a circle. It is defined by two endpoints on the circle. 4. **Considering the Ends of the Diameter**: - If we take a diameter, say AB, the endpoints A and B are two points on the circle. 5. **Understanding the Arc Formed by the Diameter**: - The arc that connects points A and B along the circumference of the circle is called a semicircle because it represents half of the circle. 6. **Conclusion**: - Therefore, the arc of a circle is called a **semicircle** if the ends of the arc are the ends of a diameter. ### Final Answer: An arc of a circle is called a **semicircle** if the ends of the arc are the ends of a diameter.
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