## Chapter 4 Basic Geometrical Ideas Exercise 4.6

Question 1: From the figure, identify:

a) the centre of circle

b) three radii

c) a diameter

d) a chord

e) two points in the interior

f) a point in the exterior

g) a sector

h) a segment

Answer:

a) O is the centre of the circle.

b) Line segment OA, line segment OB, line segment OC are the three radii.

c) Line segment AC is the diameter.

d) A chord is Line segment ED.

e) O and P are two points in the interior.

f) Q is the point in the exterior.

g) A sector is OAB (shaded part).

h) A segment is ED (shaded part).

Question 2:

a) Is every diameter of a circle also a chord?

b) Is every chord of a circle also a diameter?

Answer:

a) Yes, every diameter of a circle is also a chord. It is also known as the longest chord of a circle.

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

Question 3: 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

Answer:

a) X is the centre of the circle.

b) Line segment XA is the radius of the circle.

c) Line segment BC is the diameter of the circle.

d) A sector is XAC.

e) A segment is DE.

f) F is the point in the interior of the circle.

g) G is the point in the exterior of the circle.

h) An arc is arc HI.

Question 4: Say true or false:

a) Two diameters of a circle will necessarily intersect.

b) The centre of a circle is always in its interior.

Answer:

a) True

b) True

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