Bihar Board Class 9th Maths Solutions Chapter 10 Circles Ex 10.1 Textbook Questions and Answers.

## BSEB Bihar Board Class 9th Maths Solutions Chapter 10 Circles Ex 10.1

Question 1.

Fill in the blanks :

- The centre of a circle lies in _________ of the circle. (exterior/interior)
- A point, whose distance from the centre of a circle is greater than its radius lies in _________ of the circle. (exterior/interior)
- 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 and of _________ the circle.
- A circle divides the plane, on which it lies, in _________ parts.

Solution:

- interior
- exterior
- diameter
- semi-circle
- chord
- three parts.

Question 2.

Write True or False : Give reasons for your answers.

- Line segment joining the centre to any point on the circle is a radius of the circle.
- A circle has only finite number of equal chords.
- If a circle is divided into three equal arcs each is a major arc.
- A chord of a circle, which is twice as long as its radius is a diameter of the circle.
- Sector is the region between the chord and its corresponding arc.
- A circle is a plane figure.

Solution:

- True. As ‘radius’ is used in two senses in the ‘Sense of a line segment and also in the sense of a length.
- False. As an infinite number of points lie on the circle so we get infinite number of chord on joining any two points.
- False. Since these arcs are equal in length so they are called equal arc.
- True. As diameter is the longest chord and its length is twice the radius of the circle.
- False: As the region between an arc and the two radii, joining the centre to end points of the arc is known as a sector.
- True. Since a circle is the locus of a point which moves in a plane in such a way that its distance from a given fixed point in the plane is always constant. So, a circle lies in a plane.