Page 165 - New Medley 5 Semester 2
P. 165

  Arc: It is a part of boundary of the circle. In the given figure, APC is an
            arc of the circle.

            Semicircle: The  diameter  of a  circle divides it  into  two  equal  halves.

            Each of the halves is called a semicircle.

           In the given figure, the region enclosed by AOBRA is a semicircle.

            Segment: The chord of a circle divides it into two parts. Each part is

            called a segment.
           In the given figure, the region APCA is a minor segment. The remaining

            part of the circle is the major segment. Major segment is greater than

            a semicircle while minor segment is smaller than it.

            Sector: The  region bounded  by  two radii  and  an  arc  is called  sector
            of the circle.

            In  the  given  figure,  the  region  OBQCO  is  a  sector.  It  is  a  minor

            sector as corresponding arc BQC is a minor arc, i.e., less than half of
            circumference.


        Interior and Exterior of a Circle


        Consider the given circle and its surroundings. Here, OA is its radius and
        O is its centre.

        Here, some points are marked. If we join the points P, R and S with the


        centre O, we find that
              OP < OA  That means, P lies in the interior
                                                                                   S
                              of the circle.                                                          R


              OR = OA  That means, R lies on the circle.

              OS > OA  That means, S lies on the exterior
                                                                                    Q
                              of the circle.
                                                                                                               A
        Thus,  the  region  enclosed  by  circumference  of                                 O

        the circle is called its interior. And the region
        outside  the  boundary  of  a  circle  is  called  its                                       P

        exterior. In the given figure, the shaded region

        shows the interior of the circle.                                                       T


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