Kerala Syllabus Class 5 Maths Chapter 1 Solutions Lines and Circles

Students often refer to Kerala State Syllabus SCERT Class 5 Maths Solutions and Class 5 Maths Chapter 1 Lines and Circles Questions and Answers Notes Pdf to clear their doubts.

SCERT Class 5 Maths Chapter 1 Solutions Lines and Circles

Class 5 Maths Chapter 1 Lines and Circles Questions and Answers Kerala State Syllabus

Lines and Circles Class 5 Questions and Answers Kerala Syllabus

Question 1.
All the lines in the pictures below are of 3 centimetres length. Draw and colour them:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 11
Answer:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 12
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 13

Question 2.
Draw the first picture with lengths as shown and then colour it as in the second picture.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 14
Answer:
Draw a rectangle of length 5 cm and breadth 3 cm.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 15
Draw slanted lines on the side of 2 cm length using set square as shown below:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 16
Join the top points. Draw the remaining lines, complete the figure and colour it.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 17

Kerala Syllabus Class 5 Maths Chapter 1 Solutions Lines and Circles

Question 3.
Draw this picture:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 18
Answer:
Draw a square of side any length, let it be 2 cm.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 19
Draw slanted lines of 2 cm length using set square as in the above problem. Join the top points.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 20
Draw the remaining lines, complete the figure and colour it.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 21

Question 4.
Try drawing the pictures below.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 34
Answer:
(i) Draw a square of any side. Mark the comer points.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 35
Each comer as centre and half the length of side as radius draw pieces of circle and complete the figure.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 36

(ii) Draw a circle of any radius. Draw a square outside the circle as shown below:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 37
Now draw a square inside the circle as shown below:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 38

(iii) Draw a small line. Draw circles with the end points of the line as the centres and length of the line as radius. Extend the line to the right till it meets the circle on the right. With this point as centre, draw another circle of the same radius.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 39
Join all four points where the circle in the middle is cut by the other two.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 40
Draw triangles as shown below:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 41
Erase the parts outside the hexagon.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 42
(iv) Draw a circle of any radius. Draw two circles of half the radius of first circle as shown below:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 43
Now erase the lower part of the left circle and the upper part of the right circle, we get the required figure,
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 44

Kerala Syllabus Class 5 Maths Chapter 1 Solutions Lines and Circles

Intext Questions And Answers

Question 1.
Draw a rectangle as shown below:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 4
Answer:
First, draw a 5 cm long line using a scale. From one end of this line, draw upward another line of 3 centimetres using a set square as shown.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 5
Similarly, draw a 3 cm long line straight up from the other end also. Join the top ends, we get the required rectangle.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 6
If the left and right 3 cm sides are slanted, we use another corner of set square.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 7
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 8
If we use the third corner of the set square,
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 9
If we use the corner of another set square,
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 10

Question 2.
Draw the picture below:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 25
Answer:
Draw a small line. Draw circles with the end points of the line as the centres and length of the line as radius.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 26
Draw lines from the endpoints of the first line to the points where these circles cut each other; we get the required figure.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 27

Question 3.
Draw the following picture:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 28
Answer:
Draw two circles as before. Extend the line to the right till it meets the circle on the right. With this point as centre, draw another circle of the same radius.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 29
Join all four points where the circle in the middle is cut by the other two.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 30
With one of the six points on the middle circle as centre and without changing the radius used till now, draw a piece of a circle within the middle circle, as given below:
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 31
Take three more points as centres and draw pieces of circle.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 32
Erase the parts outside the middle circle, we get the required figure.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 33

Kerala Syllabus Class 5 Maths Chapter 1 Solutions Lines and Circles

Class 5 Maths Chapter 1 Notes Kerala Syllabus Lines and Circles

Line:
In geometry, a line is an infinitely long object with no width, depth, or curvature. A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity. It can be horizontal, vertical, or slanted.

The Set square:
There are two types of set squares and they are named according to the angles present on each.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 1
Uses of set square:

  • Draw perpendicular lines.
  • Draw parallel lines.
  • Draw some standard measured angles.

Circle:
A circle is the path traced by a point moving at the same distance from a fixed point.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 2

Compass:
We use a compass to draw circles of any size. When drawing a circle, we keep its needle fixed at a point and then draw with the pencil around it. Throughout this round trip, the pencil point is at the same distance from the needle point. The unmoving point in the middle is called the ‘centre of the circle’ and the unchanging distance between the unmoving point and the rotating point is called the ‘radius of the circle’.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 3

Kerala Syllabus Class 5 Maths Chapter 1 Solutions Lines and Circles

Circle Math
We usually use coins, bangles, bottle caps, etc., to draw circles.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 22
There is a tool in the geometry box called a compass to draw circles of any size.
A circle is the path traced by a point moving at the same distance from a fixed point.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 23
When drawing a circle, we keep its needle fixed at a point and then draw with the pencil around it. Throughout this round trip, the pencil point is at the same distance from the needle point. The unmoving point in the middle is called the ‘centre of the circle’ and the unchanging distance between the unmoving point and the rotating point is called the ‘radius of the circle’.
Kerala Syllabus Class 7 Maths Chapter 1 Solutions Lines and Circles 24

  • In geometry, a line is an infinitely long object with no width, depth, or curvature.
  • Set squares are used to draw perpendicular lines, parallel lines and some standard measured angles.
  • A circle is the path traced by a point moving at the same distance from a fixed point.
  • We use a compass to draw circles of any

Leave a Comment