Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28

Question 1.
Draw circles with the radii given below.

(1) 2 cm
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 7

Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28

(2) 4 cm
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 8
(3) 3 cm
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 9

Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28

Question 2.
Draw a circle of any radius. Show one diameter, one radius and one chord on that circle.
Answer:
In a circle, P is the centre.
AB is a diameter.
PQ is a radius
MN is a chord
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 12

Relationship between radius and diameter
Study the circle given alongside. Think over the following questions.
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 1

  • Which are the radii in the circle?
  • How many radii make up diameter AB?
  • If the length of one radius is 3 cm, what is the length of the diameter?
  • How long is the diameter as compared to the radius?

Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28

The diameter of a circle is twice the length of its radius.

  • If another diameter CD is drawn on the same circle, will its length be the same as that of AB?

All the diameters of a circle are of the same length.

Test 1 :
Measure the diameters and radii of the circles given below with a ruler and verify the relationship between their lengths.
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 2

Test 2 :
1. Draw a circle on a piece of paper and cut it out.
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 3

Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28

2. Name the centre of the circle P.
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 4
3. Draw the diameter of the circle and name it AB. Note that PA and PB are radii of the circle.
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 5
4. Fold the circular paper along AB as shown in the picture.
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 6
Fold the paper at P in such a way that point B will fall on point A. Radius PB falls exactly on radius PA. In other words, they coincide.

From this, we can see that every radius of a circle is half the length of its diameter.

Circles Problem Set 28 Additional Important Questions and Answers

Question 1.
Draw circles with the radii given below:

(1) 1.5 cm
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 10

Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28

(2) 2.3 cm
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 7 Circles Problem Set 28 11

Question 2.
Which one of the following statement is true:

(1) All chords are diameters.
(2) All diameters are chords.
Answer:
Statement (2) is true.

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