default_background

Find the best tutors and institutes for Class 10 Tuition

Find Best Class 10 Tuition

Please select a Category.

Please select a Locality.

No matching category found.

No matching Locality found.

Q1(a):
Find the circumference of the circles with the following radius: (Take $\pi = \frac{22}{7}$) (a) $14$ cm

Solution :

Given Variables & Initial Setup

We are tasked with determining the circumference of a circle based on its given radius. The parameters established for this geometric calculation are:

  • Radius of the circle, $r = 14 \text{ cm}$
  • Rational approximation for Pi, $\pi = \frac{22}{7}$

Geometric Visualization

The following diagram illustrates the circle with its center $O$, the given radius $r$, and the boundary representing the circumference $C$.

O r = 14 cm Circumference (C)

Step 1: Stating the Governing Formula

The circumference $C$ of a circle is defined as the total linear distance of its continuous boundary. [Per the fundamental theorems of Euclidean geometry], the circumference is directly proportional to its radius, mathematically expressed by the formula:

$C = 2\pi r$

Step 2: Substitution of Values

Substituting the given scalar values into the circumference formula yields:

$C = 2 \times \left(\frac{22}{7}\right) \times 14$

Step 3: Algebraic Simplification

To evaluate the expression efficiently, we first divide the radius by the denominator of the $\pi$ fraction [Applying the associative property of multiplication to isolate compatible factors]:

$C = 2 \times 22 \times \left(\frac{14}{7}\right)$

Since $14$ is a multiple of $7$, the fraction simplifies to an integer:

$C = 2 \times 22 \times 2$

Proceeding with the multiplication sequentially from left to right:

$C = 44 \times 2$

$C = 88$

Step 4: Dimensional Analysis

The radius is provided in centimeters ($\text{cm}$). Because the factor $2\pi$ is a dimensionless mathematical constant, the resulting calculated circumference strictly inherits the unit of the radius. Therefore, the final unit is centimeters ($\text{cm}$).

Final Solution: The circumference of the circle is $88 \text{ cm}$.


More Questions from Class 9 Mathematics Coordinate Geometry EXERCISE 9.2


CBSE Solutions for Class 9 Mathematics Coordinate Geometry


Chapters in CBSE - Class 9 Mathematics


Top Tutors who teach Coordinate Geometry

(5)
Top Tutor
locationImg Sector 43, Gurgaon
experience 12 yrs of Exp
rsIcon 1000 per hour
Tutor Of maths and science with 6 years experience..
Online Classes Online Classes
homeTutions Student's Home

Experienced Mathematics and Science Educator | 10+ Years in Teaching and Coaching I have over a decade of experience in teaching and coaching students in Mathematics and Science. I have worked as a PGT Mathematics teacher at GBL Convent School, and have also taught Classes 9 and 10 (Maths & Science) at R.S. Education Hub. My teaching approach focuses on building strong conceptual clarity, personalized attention, and result-oriented strategies to help students excel academically. I have successfully guided numerous students through school exams, board exams, and foundational competitive preparation.

Skills: Mathematics , Physics and more
Also teaches: Class 11 Tuition, Class 8 Tuition and more

(26)
Top Tutor
locationImg Serlingampally, Hyderabad
experience 20 yrs of Exp students 13 students
greenClock 623 hrs of classes completed
rsIcon 400 per hour
TEACHING IS MY PASSION-I STILL STRIVE TO BETTER MY TEACHING ABILITIES
Online Classes Online Classes
regularClasses Tutor's home

Teaching is my Passion. I have taught Mathematics, Physics and Chemistry to several students during 20+ years of my teaching. Many of my students who initially were scarred of Mathematics, have developed interest on the subject and opted MPC group in their Intermediate and are now earning Dollars as Software Engineers in USA, CANADA, UK and Australia.

Skills: Mathematics , Physics and more
Also teaches: Class 8 Tuition, Class 9 Tuition and more

(9)
Top Tutor
locationImg Sonari, Jamshedpur
experience 1 yrs of Exp students 4 students
greenClock 657 hrs of classes completed
rsIcon 300 per hour
Online Classes Online Classes
homeTutions Student's Home
regularClasses Tutor's home

I have a Science background completed my electrical engineering.... I am giving home tuition for 2 years.... I am also preparing for UPSC civil service exam.

Skills: Mathematics , Physics and more
Also teaches: Class 9 Tuition, Class 8 Tuition and more

(76)
Top Tutor
locationImg Govindpuri Shiva Colony, Jaipur
experience 10 yrs of Exp students 23 students
greenClock 1473 hrs of classes completed
rsIcon 500 per hour
Explore concepts of mathematics in very interesting and joyful way.
Online Classes Online Classes
regularClasses Tutor's home

I am a teacher of mathematics. I am giving online tuitions and tuitions at my home in Jaipur(Rajasthan). I have done M.Sc. , B.Ed. in mathematics. I have experience of 10 years of teaching mathematics , Vedic Mathematics and Olymiads.

Yuvarani Navaneethakrishnan

I Shivani. N feel the class handled by Rohit Sir is a lively, interactive and also class room teaching experience with individual attention. I am looking forward to take weekly tests after which I will share my feed back on it. Thank you Sir.

Skills: Mathematics
Also teaches: Vedic Maths Training, CUET Coaching and more

(28)
Top Tutor
locationImg Patthri Bagh, Dehradun
experience 6 yrs of Exp students 1 student
greenClock 3 hrs of classes completed
rsIcon 500 per hour
Well Experienced Teacher, Trainer and Mentor, Having a Experience of more than 5 years .
Online Classes Online Classes

I worked as a Computer teacher in Kendriya Vidyalaya. I worked for a software company Synapse Valutech Private Limited as a Java developer. I worked for so many training centers for Java-like DUCAT, High Technologies, Sky Infotech. Special batches for freshers in JAVA and for working professionals. Special Batches for BA, XI-XII for History, Geography, Economics, Indian Polity, Environment, SSC Maths, English, GS. Vast experience in teaching for class 1 to 10( Science, Maths, SST, Hindi, English Grammar, Computer Science or IT). I have students of DPS Vasant Kunj, DAV Vasant Kunj, Mother's International, Bhatnagar International school, DU and JNU.

Skills: English , Mathematics and more
Also teaches: UPSC Exams Coaching, Class 7 Tuition and more

Find more Tutor for Coordinate Geometry in your City


Other Subjects in CBSE - Class 9

Worksheet Icon

Download free CBSE - Class 9 Mathematics Coordinate Geometry EXERCISE 9.2 worksheets

Download Now

Find Best Class 10 Tuition ?

Find Now »