As per the syllabus of CBSE, Chapter 10 of Math Class 9 is about circles. The Class 9 NCERT Maths solutions provide answers to all the questions in this chapter. In this chapter, you will be learning some interesting topics like Angle Subtended by a Chord at a Point, Equal Chords and their respective distances from the Centre, the angle Subtended by an Arc of a Circle, Cyclic Quadrilaterals. The other important theorems prove to help solve questions based on a triangle, quadrilateral, and circles.

NCERT Solutions for Class 9 Maths Chapter 10 by **Swiflearn** are by far the best and most reliable NCERT Solutions that you can find on the internet. These NCERT Solutions for Class 9 Maths Chapter 10 are designed as per the CBSE Class 9 Maths Syllabus. These NCERT Solutions will surely make your learning convenient & fun. Students can also Download FREE PDF of **NCERT Solutions** Class 9 Chapter 10.

## NCERT Solutions for Class 9 Maths Chapter 10 Circles: EX 10.1

**Question 1:**

**Fill in the blanks:**

**(i) The center 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.**

**Solution**:

(i) The center of a circle lies in interior of the circle.

(ii) A point, whose distance from the centre of a circle is greater than its radius lies in exterior of the circle.

(iii) The longest chord of a circle is a diameter of the circle.

(iv) An arc is a semicircle when its ends are the ends of a diameter.

(v) Segment of a circle is the region between an arc and chord of the circle.

(vi) A circle divides the plane, on which it lies, in 3 (three) parts.

**Question 2:**

**Write True or False: Give reasons for your solution**

**(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**:

(i) True. As we know that any line segment drawn from the centre of the circle to any point on it is the radius of the circle and will be of equal length.

(ii) False. Here there can be infinite numbers of equal chords of a circle.

(iii) False. Here for unequal arcs, there can be major and minor arcs. As a result, equal arcs on a circle cannot be said as a major arc or a minor arc.

(iv) True As we know that any chord whose length is twice as long as the radius of the circle always passes through the centre of the circle and thus, As we know that the diameter of the circle.

(v) False. Here sector is a region of a circle between the arc and the two radii of the circle.

(vi) True. As we know that circle is a 2d figure and it can be drawn on a plane.