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.
3. Line segment PQ is the ______ of circle.
Solution: diameter of circle.
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 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.
Class 6 Math Solutions WBBSE
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. [✓]
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 Math Solutions WBBSE
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.