Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 31 Textbook Exercise Important Questions and Answers.

## Maharashtra State Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 31

Question 1.

In the figure given alongside, points S, L, M, and N are on the circle. Answer the questions with the help of the diagram.

(1) Write the names of the arcs with end-points S and M.

Answer:

Arcs with the end-points S and M are, arc SLM and arc SNM.

(2) Write the names of the arcs with the end-points L and N.

Answer:

Arcs with the end-points L and N are, arc LMN and arc LSN.

Question 2.

Write the names of arcs that points A, B, C, and D in the given circle give rise to.

Answer:

Arcs with end-points A and C are, arc ABC and arc ADC.

Arcs with end-points B and D are, arc BAD and arc BCD.

Question 3.

Give the names of the arcs that are made by points P, Q, R, S, and T in the figure.

Answer:

Taking end-points : P and R, arc PQR, arc PTR.

Taking end-points: Q and S, arc QRS, arc QTS

Taking end-points : R and T, arc RST, arc RPT

Taking end-points : S and P, arc STP, arc SRP

Taking end-points: Q and T, arc QPT, arc QST

Question 4.

Measure and note down the circumference of different circular objects. (It is convenient to use a measuring tape for this purpose.)

**Chapter 7 Circles Problem Set 31 Additional Important Questions and Answers**

Question 1.

Draw circles with the radii given below:

(1) 1.2 cm

Answer:

(2) 2.5 cm

Answer:

(3) 3.3 cm

Answer:

Question 2.

Write true or false for the following statements:

(1) Longest chord is a diameter.

(2) Centre is not lying on the diameter.

(3) All chords are of equal length.

(4) All chords passes through the centre.

Answer:

(1) True

(2) False

(3) False

(4) False

Question 3.

Match the cplumns (A) and (B):

Answer:

(1) ↔ (c),

(2) ↔ (a),

(3) ↔ (d),

(4) ↔ (b)

Question 4.

Complete the following table by filling in the blanks:

Answer:

(1) 6 cm

(2) 10 cm

(3) 34 cm

(4) 9 cm

Question 5.

From the following figure, fill in the blanks:

(1) If OP = 4cm then AB = _________ cm, OA = _________ cm, OB = _________ cm.

(2) If AB = 10 cm then OA = _________ cm, OB = _________ cm, OP = _________ cm.

Answer:

(1) AB = 8 cm, OA = 4 cm, OB = 4 cm

(2) OA = 5 cm, OB = 5 cm, OP = 5 cm

Question 6.

In the table below, write the names of the points in the interior and exterior of the circle and those on the circle.

Answer:

Points in the exterior of the circle are A, F and G.

Points in the interior of the circle are O, E and B, and Points on the circle are C, D and H.

Question 7.

Radius of a circle with centre P is 4 cm. Fill in the blanks.

(1) The, point A is at a distance of 5 cm from the centre P. Flence the point A lies in the ________ of the circle.

(2) Point B is at a distance of 4 cm. from the centre P. Hence the point B lies ________ circle.

(3) Point C lies at a distance 3 cm from the centre P. Hence it lies in the ________ of the circle.

Answer:

(1) Exterior

(2) on the circle

(3) interior

Question 8.

Solve the following:

(1) What is the length of the diameter of a circle of radius 6 cm?

(2) What is the length of the radius of a circle of diameter 14 cm?

(3) Give the names of the arcs that are made by points X, Y, Z and W in this picture.

(4) Give the names of the arc that are made by points E, F, G and H, taking end points E and G.

(5) If the diameter of a circle is 7 cm. what is the length of the circumference? (Use measure tap)

Answer:

(1) 12 cm

(2) 7 cm

(3) Having end-points X and Z, arc XYZ and arc XWZ

Having end-points Y and W, arc YZW and arc YXW

(4) By end-points E and G, arc EFG and arc EHG

(5) 22 cm