Class 6 Math Solutions WBBSE Chapter 20 Geometrical Concept Of Circle Exercise
Question 1. From the figure, let us answer the following :
1. O is the _____ of the circle.
Solution: O is the centre of the circle
2. Line segment OQ is the ____ of the circle.
Solution: radius of the circle.
“Step-by-step solutions for geometrical concept of circle Class 6 WBBSE”
3. Line segment PQ is the ______ of circle.
Solution: diameter of circle.
“WBBSE Class 6 Maths Chapter 20 geometrical concept of circle solutions”
4. Line segment OP is the _______ of circle.
Solution: Line segment OP is radius of circle.
5. Line segment MN is ______ of the circle.
Solution: Line segment MN is a chord of the circle.
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6. The points M and N have divided the circle into two _______ parts.
Solution: The points M and N have divided the circle into two arcs.
7. The area bounded by arc SR and radii SO and RO is called ______
Solution: The area bounded by the arc SR and radii SO and RO is called the sector.
8. The diameter PQ has divided the circle into two equal parts which are called _____
Solution: The diameter PQ has divided the circle into two equal parts which are called semi-circles.
Question 2. Let us write (✓) for the correct statement and (X) for the wrong one.
- All diameters of a circle are chords. [✓]
- All chords of a circle are its diameter. [X]
- The length of the diameter of a circle is twice the length of its radius. [✓]
- Sector of a circle is part of its circular area. [✓]
- Arc of a circle is part of the circle. [✓]
- Centre of the circle is a fixed point in the circle. [✓]
- Two diameters always intersect each of them. [✓]
“WBBSE solutions for Class 6 Maths circle geometry”
Question 3. With the help of a compass and a pencil, a circle of radius 3 cm is drawn. Let’s name its centre, radius, diameter, chord, and arc.
Solution:
- Centre O
- Radius OP
- Diameter AB
- Chord MN
- Arc PRB
Question 4. In this figure, let us colour the major segment yellow and minor segment green.
Solution:
- Major segment — yellow portion
- Minor segment — green portion
“Class 6 Maths WBBSE Chapter 20 circle geometry exercises”
Question 5. The radii of two circles are 2 cm and 4 cm respectively. Let’s write the lengths of their diameter without measuring.
Solution:
Given
The radii of two circles are 2 cm and 4 cm respectively.
⇒ Radius of 1st circle = 2 cm.
⇒ Diameter of 1st circle = 2×2 cm. = 4 cm.
⇒ Radius of 2nd circle = 4 cm.
⇒ Diameter of 2nd circle = 2 x 4cm. = 8 cm.
Question 6. If the length of the greatest chord of a circle is 10 cm, let’s write what will be the length of its radius.
Solution:
Given
If the length of the greatest chord of a circle is 10 cm
⇒ Length of the greatest chord of a circle = 100 cm.
∴ Diameter of the circle = 10 cm.
∴ Radius of the circle = 10/2 cm = 5 cm.