Relation between Diameter Radius and Circumference
Relation between diameter radius and circumference are discussed here.
Relation between Diameter and Radius:
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Relation between radius and diameter of a circle In this figure, we have a circle with centre O. OA is the radius and PQ is the diameter. Relation between radius OA and diameter PQ. You will find that. PQ = 2 OA In other words, we say diameter is twice the radius. |
1. What is the relation between diameter and radius?
Solution:
Diameter of a circle is twice of its radius.
Formula:
Diameter = 2 radius
Radius = \(\frac{Diameter}{2}\)
For Example:
1. Find the diameter of a circle whose radius is 4.5 cm.
Solution:
We know, Diameter = 2 radius.
Radius = 4.5 cm.
= 2 x 4.5 cm.
= 9 cm.
Therefore, diameter = 9 cm.
2. Find the radius of a circle whose diameter is 7 cm.
Solution:
We know, Radius = Diameter/2
Diameter = 7 cm.
= 7/2 cm.
= 3.5 cm.
Therefore, radius = 3.5 cm.
3. Find the diameter of a circle whose radius is 1.5 cm.
Solution:
We know, Diameter = 2 radius.
Radius = 1.5 cm.
= 2 x 1.5 cm.
= 3 cm.
Therefore, diameter = 3 cm.
4. Find the radius of a circle whose diameter is 8 cm.
Solution:
We know, Radius = Diameter/2
Diameter = 8 cm.
= 8/2 cm.
= 4 cm.
Therefore, radius = 4 cm.
5. Find the diameter of a circle whose radius is 2 cm.
Solution:
We know, Diameter = 2 radius.
Radius = 2 cm.
= 2 x 2 cm.
= 4 cm.
Therefore, diameter = 4 cm.
6. If the radius of a circle is 3 cm, find its diameter.
Solution: Diameter = 2 × Radius
= 2 × 3 cm
= 6 cm.
Relation between Circumference and Diameter:
1. What is the relation between circumference and diameter?
Solution:
Circumference of a circle is slightly more than three times of its diameter.
Worksheet on Relation between Diameter Radius and Circumference:
1. Find the radius of the circle whose diameter is:
(i) 10 cm
(ii) 14 cm
(iii) 16 cm
(iv) 8 cm
Answer:
1. (i) 5 cm
(ii) 7 cm
(iii) 8 cm
(iv) 4 cm
2. Find the diameter of the circle whose radius is:
(i) 4 cm
(ii) 6 cm
(iii) 7 cm
(iv) 5 cm
Answer:
2. (i) 8 cm
(ii) 12 cm
(iii) 14 cm
(iv) 10 cm
3. Complete the following table:
Radius
4 cm
____ cm
____ m
6 m
14 mm
Diameter
____ cm
20 cm
6 m
____ m
____ mm
Answer:
3.
Radius
4 cm
10 cm
3 m
6 m
14 mm
Diameter
8 cm
20 cm
6 m
12 m
28 mm
4. Fill in the blanks:
(i) The length of the radius of a circle is _____ the length of its diameter.
(ii) Diameter is also a _____ of the circle.
(iii) The line segment that joins two points on a circle is called a _____ of the circle.
(iv) The distance around a circle is called its _____.
(v) A diameter of a circle passes through the _____ of the circle.
Answer:
4. (i) half
(ii) chord
(iii) chord
(iv) circumference
(v) center
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Relation between Diameter Radius and Circumference.
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