Relation between Diameter Radius and Circumference

Relation between diameter radius and circumference are discussed here.

Relation between Diameter and Radius:

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

Therefore, Diameter = 2 × Radius

In other words, we say diameter is twice the radius.

Relation between Radius and Diameter of a Circle

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

You might like these

Circle

Relation between Diameter Radius and Circumference.

Worksheet on Circle.

Practice Test on Circle.


5th Grade Geometry Page

5th Grade Math Problems

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