## Chapter 10 Circles Exercise 10.1

**Question 1: 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.

Answer:

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.

Answer:

i) Interior

ii) Exterior

iii) Diameter

iv) Semicircle

v) Chord

vi) 3

**Question 2: 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.

Answer:

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.

Answer:

i) True, as all points on the circle are equidistant from the centre

ii) False, as a circle can have an infinite number of equal chords

iii) False, as each part will be less than a semicircle

iv) True, as diameter = 2 times radius

v) False, as the region between the chord and its corresponding arc is a segment

vi) True, as a circle is drawn on a plane

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