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A segment of a circle in the region betw...

A segment of a circle in the region between an arc and a ____of the circle.

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To solve the question, "A segment of a circle in the region between an arc and a ____ of the circle," we need to understand the definitions related to segments and arcs in a circle. ### Step-by-Step Solution: 1. **Understanding the Circle**: - A circle is defined as the set of all points that are equidistant from a fixed point called the center. 2. **Identifying the Arc**: - An arc is a portion of the circumference of a circle. It is defined by two points on the circle. 3. **Defining the Segment**: - A segment of a circle is the region enclosed by an arc and a chord. A chord is a straight line connecting two points on the circle. 4. **Filling in the Blank**: - The question asks for the term that describes the straight line connecting the endpoints of the arc. This term is "chord." 5. **Final Answer**: - Therefore, the complete statement is: "A segment of a circle in the region between an arc and a chord of the circle."
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Fill in the blanks: (i) The centre of a circle lies in of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater than its radius lies in of the circle. (exterior/ interior) (iii) The longest chord of a circle is a_________ of the circle. (iv) An arc is a _________when its ends are the ends of a diameter. (v) Segment of a circle is the region between an arc and________ of the circle. (vi) A circle divides the plane, on which it lies, in________ parts.

Fill in the blanks: All point lying inside/outside a circle are called ... points/ ... points. Circle having the same centre and different radii are called ... circles. A point whose distance from the centre of a circle is greater than its radius lies in .... of the circle. A continuous piece of a circle is .... of the circle. The longest chord of a circle is a ......of the circle. An arc is a ......... when its ends are the ends of a diameter. Segment of a circle is the region between an arc and ... of the circle. A circle divides the plane, on which it lies, in .... parts.

Knowledge Check

  • Which of the following statements is/are correct?(1) A sector is the region in the interior of a circle enclosed by an arc on one side and a pair of radii on the other two sides. (ii) A segment of a circle is the region in the interior of the circle enclosed by an arc and a chord. (iii) Diameter is the longest chord of a circle. (iv) A circle is a polygon.

    A
    (i), (ii) and (iii) only
    B
    Only (i)
    C
    Only (ii)
    D
    None of these

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