# NCERT Solutions for Class 6th Mathematics

## Chapter 4. Basic Geometrical Ideas

### Exercise 4.6

### Exercise 4.6

**Q1. From the figure, identify :**

**(a) the centre of circle**

**Solution:** The centre of circle is O.

**(b) three radii**

**Solution: **Three radii are OA, OB and OC.

**(c) a diameter**

**Solution:** AC is diameter of circle.

**(d) a chord**

**Solution:** ED is a chord.

**(e) two points in the interior**

**Solution:** Two points in the interior are P and O.

**(f) a point in the exterior**

**Solution:** Q is the point in the exterior of circle.

**(g) a sector **

**Solution:** AOB forms sector.

**(h) a segment**

**Solution:** ED forms segment.

**Q2. (a) Is every diameter of a circle also a chord?
(b) Is every chord of a circle also a diameter?**

**Solution:**

(a) Yes, every diameter of a circle is also a chord.

(b) No, every chord of a circle is not a diameter.

**Q3. Draw any circle and mark**

**(a) its centre **

**(b) a radius
(c) a diameter **

**(d) a sector**

**(e) a segment **

**(f) a point in its interior
(g) a point in its exterior **

**(h) an arc**

**Solution: **

(a) its centre : O

(b) a radius : OA

(c) a diameter : AC

(d) a sector : AOB

(e) a segment : ED

(f) a point in its interior : Point P

(g) a point in its exterior : Point Q

(h) an arc : arch AB

**Q4. Say true or false :
(a) Two diameters of a circle will necessarily intersect.
(b) The centre of a circle is always in its interior.**

**Solution: **

(a) True

(b) True