Selina solutions concise mathematics class 6 icse Solutions for Chapter 29 the circle

Exercises in Chapter 29 the circle Grade 6

Exercise 29(A)

Exercise 29(B)

Revision Exercise

Questions in Exercise 29(A)

Q1) Use the figure given below to fill in the blanks : (i) R is the …… of the circle. (ii) Diameter of a circle is …… . (iii) Tangent to a circle is … . (iv) EF is a …… of the circle. (v) …… is a chord of the circle. (vi) Diameter = 2 x ….. (vii) ……. is a radius of the circle. (viii) If the length of RS is 5 cm, the length of PQ = …… (ix) If PQ is 8 cm long, the length of RS =….. (x) AB is a ….. of the circle

Q2) Draw a circle of radius 4.2 cm. Mark its centre as O. Take a point A on the circumference of the circle. Join AO and extend it till it meets point B on the circumference of the circle, (i) Measure the length of AB. (ii) Assign a special name to AB

Q3) Draw circle with diameter : (i) 6 cm (ii) 8.4 cm. In each case, measure the length of the radius of the circle drawn.

Q4) Draw a circle of radius 6 cm. In the circle, draw a chord AB = 6 cm. (i) If O is the centre of the circle, join OA and OB. (ii) Assign a special name to ∆AOB (iii) Write the measure of angle AOB.

Q5) Draw a circle of radius 4.8 cm and mark its centre as P.

(i) Draw radii PA and PB such that ∠APB = 45°.

(ii) Shade the major sector of the circle

Q6) Draw a circle of radius 3.6 cm. In the circle, draw a chord AB = 5 cm. Now shade the minor segment of the circle.

Q7) Mark two points A and B ,4cm a part, Draw a circle passing through B and with A as a center

Q8) Draw a line AB = 8.4 cm. Now draw a circle with AB as diameter. Mark a point C on the circumference of the circle. Measure angle ACB.

Questions in Exercise 29(B)

Q1) Construct a triangle ABC with AB = 4.2 cm, BC = 6 cm and AC = 5cm. Construct the circumcircle of the triangle drawn.

Q2) Construct a triangle PQR with QR = 5.5 cm, ∠Q = 60° and angle R = 45°. Construct the circumcircle cif the triangle PQR.

Q3) Construct a triangle ABC with AB = 5 cm, ∠B = 60° and BC = 6. 4 cm. Draw the incircle of the triangle ABC.

Q4) Construct a triangle XYZ in which XY = YZ= 4.5 cm and ZX = 5.4 cm. Draw the circumcircle of the triangle and measure its circumradius.

Q5) Construct a triangle PQR in which, PQ = QR = RP = 5.7 cm. Draw the incircle of the triangle and measure its radius.

Questions in Revision Exercise

Q1) The centre of a circle is at point O and its radius is 8 cm. State the position of a point P (point P may lie inside the circle, on the circumference of the circle, or outside the circle), when :

(a) OP = 10.6 cm

(b) OP = 6.8 cm

Q2) The diameter of a circle is 12.6 cm. State, the length of its radius.

Q3) Can the length of a chord of a circle be greater than its diameter ? Explain.

Q4) Draw a circle of diameter 7 cm. Draw two radii of this circle such that the angle between these radii is 90°. Shade the minor sector obtained. Write a special name for this sector.

Q5) State, which of following statements are true and which are false : (i) If the end points A and B of the line segment lie on the circumference of a circle, AB is a diameter. (ii) The longest chord of a circle is its diameter. (iii) Every diameter bisects a circle and each part of the circle so obtained is a semi-circle. (iv) The diameters of a circle always pass through the same point in the circle.