Processing math: 100%

Subscribe to our YouTube channel for the latest videos, updates, and tips.


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. Worksheet on Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  2. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  3. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  4. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More

  5. Worksheet on Rounding Off Number | Rounding off Number | Nearest 10

    May 15, 25 05:12 PM

    In worksheet on rounding off number we will solve 10 different types of problems. 1. Round off to nearest 10 each of the following numbers: (a) 14 (b) 57 (c) 61 (d) 819 (e) 7729 2. Round off to

    Read More