PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4

Punjab State Board PSEB 6th Class Maths Book Solutions Chapter 10 Practical Geometry Ex 10.4 Textbook Exercise Questions and Answers.

PSEB Solutions for Class 6 Maths Chapter 10 Practical Geometry Ex 10.4

1. Draw a circle of the following radius:

Question (i)
3.5 cm
Solution:
Steps of construction.
PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4 1
1. Mark a point O on the page of your note book, where a circle is to be drawn.
2. Take compasses fixed with sharp pencil and measure OA = 3.5 cm using a scale.
3. Without changing the opening of the compasses, keep the needle at point O and draw a complete arc by holding the compasses from its knob, we get the required circle.

PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4

Question (ii)
4 cm
Solution:
Steps of construction.
PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4 2
1. Mark a point O on the page of your note book, where a circle is to be drawn.
2. Take compasses fixed with sharp pencil and measure OA = 4 cm using a scale.
3. Without changing the opening of the compasses, keep the needle at point O and draw a complete arc by holding the compasses from its knob.

Question (iii)
2.8 cm
Solution:
Steps of construction
PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4 3
1. Mark a point O on the page of your note book, where a circle is to be drawn.
2. Take compasses fixed with sharp pencil and measures OA = 2.8 cm using a scale.
3. Without changing the opening of the compasses, keep the needle at point O and draw a complete arc by holding the compasses from its knob, we get the required circle.

PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4

Question (iv)
4.7 cm
Solution:
Steps of construction
PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4 4
1. Mark a point O on the page of your note book.
2. Take compasses fixed with sharp pencil and measures OA = 4.7 cm using a scale.
3. Without changing the opening of the compasses, keep the needle at point O and draw a complete arc by holding the compasses from its knob, we get the required circle.

Question (v)
5.2 cm.
Solution:
Steps of construction
PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4 5
1. Mark a point O on the page of your note book.
2. Take compasses fixed with sharp pencil and measures OA = 5.2 cm using a scale.
3. Without changing the opening of the compasses, keep the needle at point O and draw a complete arc by holding the compasses from its knob, we get the required circle.

PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4

2. Draw a circle of diameter 6 cm.
Solution:
Steps of construction
PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4 6
1. Draw a line segment PQ = 6 cm.
2. Draw the perpendicular bisector of PQ intersecting PQ at O.
3. With O as centre and radius = OQ = 3 cm (= OP), draw a circle.
The circle thus drawn is the required circle.

3. With the same centre O, draw two concentric circles of radii 3.2 cm and 4.5 cm.
Solution:
Steps of Construction
PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4 7
1. Mark a point O on the page of your note book, where a circle is drawn.
2. Take compasses fixed with sharp pencil measuring OA = 4.5 cm using scale.
3. Without changing the opening of the compasses, keep the needle at point O and draw complete arc by holding the compasses from its knob.
After completing one round, we get circle I.
4. Again with the same centre O and new radius = 3.2 cm draw another circle II following the same step 3.

PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4

4. Draw a circle of radius 4.2 cm with centre at O. Mark three points A, B and C such that point A is on the circle, B is in the interior and C is in the exterior of the circle.
Solution:
Steps of Construction
PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4 8
1. Mark a point O on the page of your note book, where a circle is to be drawn
2. Take compasses fixed with sharp pencil and measure OA = 4.2 cm using scale (∴ A is on the circle).
3. Without changing the opening of the compasses, keep the needle at point O and draw complete arc by rotating the compasses from the knob. After completing one round, we get required circle.
4. Mark point B in the interior of the circle and point C in the exterior of the circle.

5. Draw a circle of radius 3 cm and draw any chord. Draw the perpendicular bisector of the chord. Does the perpendicular bisector passes through the centre?
Solution:
Steps of Construction.
PSEB 6th Class Maths Solutions Chapter 10 Practical Geometry Ex 10.4 9
1. Draw a circle with C as centre and radius 3 cm.
2. Draw AB the chord of the circle.
3. Draw PQ the perpendicular bisector of chord AB.
4. We see that the perpendicular bisector of chord AB passes through the centre C of the circle.

Leave a Comment