Loading [MathJax]/jax/output/HTML-CSS/jax.js

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 = Diameter2

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

From Relation between Diameter Radius and Circumference to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More