 Write True or False: Give reasons for your answers.(i) Line segm | Filo  Class 9

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Conic Sections 558

Write True or False: Give reasons for your answers.(i) Line segment joining the centre to any point on the circle is a radius of the circle.(ii) A circle has only finite number of equal chords.(iii) If a circle is divided into three equal arcs, each is a major arc.(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.(v) Sector is the region between the chord and its corresponding arc.(vi) A circle is a plane figure.

Solution: Solution: (i) Line segment joining the centre to any point on the circle is a radius of the circle. - . Please refer to video to see the explanation with diagram.

(ii) A circle has only finite number of equal chords. - as a circle can have any number of equal chords.

(iii) If a circle is divided into three equal arcs, each is a major arc.- .Please refer to video to see the explanation with diagram.

(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle. - as diameter is the largest chord with length double to radius.

(v) Sector is the region between the chord and its corresponding arc. - as the mentioned region i s called segment not sector.

(vi) A circle is a plane figure. - 558 Connecting you to a tutor in 60 seconds.