Geometry Chapter 4 Geometrical Concept of Circle
Question 1. From the given following.
1 . O is of the circle.
Solution: Centre.
2. OA is an off-the-circle.
Solution: Radius
WBBSE Class 6 Circle Concepts Notes
3. AB is an off-the-circle.
Solution: Diameter
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4. PR is an off-the-circle.
Solution: Chord
5. MN is an off-the-circle.
Solution: arc
6. The shaded region COD is a circle.
Solution: Sector
Class 6 Math Solutions WBBSE English Medium
7. \(\overparen{P Q R}\) is a of the circle.
Solution: minor arc
8. PACDMNBR is an off-the-circle.
Solution: major arc
9. APQRB is of the circle.
Solution: semi-circle
10. AB = 2 x ? or 2 x ?
Solution: OA or OB.
Short Questions on Circle Geometry
Question 2. The radius of a circle is 2*5 cm, what is the diameter of the circle?
Solution:
Given:
The radius of a circle is 2*5 cm
The diameter of the circle = 2 x the radius of the circle
= (2 x 2-5) cm
= 5 cm.
The diameter of the circle is 5 cm
Common Questions About Parts of a Circle
Question 3. The diameter of a circle is 21 cm, What is the radius of the circle?
Solution:
Given:
The diameter of a circle is 21 cm
The radius of the circle = 1/2 x the diameter of the circle
= \(\left(\frac{1}{2} \times 21\right)\) cm
= 10.5 cm
The radius of the circle is 10.5 cm
Practice Problems on Circles
Question 4. The radius of a circle is 14 cm, what is the circumference of the circle?
Solution:
Given:
The radius of a circle is 14 cm
The circumference of the circle
= 2πr, (r = radius)
=\(\left(2 \times \frac{22}{7} \times 14\right)\) cm
= 88 cm.
The circumference of the circle is 88 cm
Examples of Real-Life Applications of Circles
Question 5. The radius of a semi-circle is 7 cm, what is the circumference of the semi-circle?
Solution:
Given:
The radius of a semi-circle is 7 cm
The circumference of the semi-circle
= (πr + 2r), r = radius of semi-circle.
= \(\left(\frac{22}{7} \times 7+2 \times 7\right)\) cm
= (22 + 14) cm
= 36 cm.
The circumference of the semi-circle is 36 cm