• NCERT Solutions
    • NCERT Library
  • RD Sharma
    • RD Sharma Class 12 Solutions
    • RD Sharma Class 11 Solutions Free PDF Download
    • RD Sharma Class 10 Solutions
    • RD Sharma Class 9 Solutions
    • RD Sharma Class 8 Solutions
    • RD Sharma Class 7 Solutions
    • RD Sharma Class 6 Solutions
  • Class 12
    • Class 12 Science
      • NCERT Solutions for Class 12 Maths
      • NCERT Solutions for Class 12 Physics
      • NCERT Solutions for Class 12 Chemistry
      • NCERT Solutions for Class 12 Biology
      • NCERT Solutions for Class 12 Economics
      • NCERT Solutions for Class 12 Computer Science (Python)
      • NCERT Solutions for Class 12 Computer Science (C++)
      • NCERT Solutions for Class 12 English
      • NCERT Solutions for Class 12 Hindi
    • Class 12 Commerce
      • NCERT Solutions for Class 12 Maths
      • NCERT Solutions for Class 12 Business Studies
      • NCERT Solutions for Class 12 Accountancy
      • NCERT Solutions for Class 12 Micro Economics
      • NCERT Solutions for Class 12 Macro Economics
      • NCERT Solutions for Class 12 Entrepreneurship
    • Class 12 Humanities
      • NCERT Solutions for Class 12 History
      • NCERT Solutions for Class 12 Political Science
      • NCERT Solutions for Class 12 Economics
      • NCERT Solutions for Class 12 Sociology
      • NCERT Solutions for Class 12 Psychology
  • Class 11
    • Class 11 Science
      • NCERT Solutions for Class 11 Maths
      • NCERT Solutions for Class 11 Physics
      • NCERT Solutions for Class 11 Chemistry
      • NCERT Solutions for Class 11 Biology
      • NCERT Solutions for Class 11 Economics
      • NCERT Solutions for Class 11 Computer Science (Python)
      • NCERT Solutions for Class 11 English
      • NCERT Solutions for Class 11 Hindi
    • Class 11 Commerce
      • NCERT Solutions for Class 11 Maths
      • NCERT Solutions for Class 11 Business Studies
      • NCERT Solutions for Class 11 Accountancy
      • NCERT Solutions for Class 11 Economics
      • NCERT Solutions for Class 11 Entrepreneurship
    • Class 11 Humanities
      • NCERT Solutions for Class 11 Psychology
      • NCERT Solutions for Class 11 Political Science
      • NCERT Solutions for Class 11 Economics
      • NCERT Solutions for Class 11 Indian Economic Development
  • Class 10
    • NCERT Solutions for Class 10 Maths
    • NCERT Solutions for Class 10 Science
    • NCERT Solutions for Class 10 Social Science
    • NCERT Solutions for Class 10 English
    • NCERT Solutions For Class 10 Hindi Sanchayan
    • NCERT Solutions For Class 10 Hindi Sparsh
    • NCERT Solutions For Class 10 Hindi Kshitiz
    • NCERT Solutions For Class 10 Hindi Kritika
    • NCERT Solutions for Class 10 Sanskrit
    • NCERT Solutions for Class 10 Foundation of Information Technology
  • Class 9
    • NCERT Solutions for Class 9 Maths
    • NCERT Solutions for Class 9 Science
    • NCERT Solutions for Class 9 Social Science
    • NCERT Solutions for Class 9 English
    • NCERT Solutions for Class 9 Hindi
    • NCERT Solutions for Class 9 Sanskrit
    • NCERT Solutions for Class 9 Foundation of IT
  • CBSE Sample Papers
    • Previous Year Question Papers
    • CBSE Topper Answer Sheet
    • CBSE Sample Papers for Class 12
    • CBSE Sample Papers for Class 11
    • CBSE Sample Papers for Class 10
    • CBSE Sample Papers for Class 9
    • CBSE Sample Papers Class 8
    • CBSE Sample Papers Class 7
    • CBSE Sample Papers Class 6
  • Textbook Solutions
    • Lakhmir Singh
    • Lakhmir Singh Class 10 Physics
    • Lakhmir Singh Class 10 Chemistry
    • Lakhmir Singh Class 10 Biology
    • Lakhmir Singh Class 9 Physics
    • Lakhmir Singh Class 9 Chemistry
    • PS Verma and VK Agarwal Biology Class 9 Solutions
    • Lakhmir Singh Science Class 8 Solutions

Learn CBSE

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1

Get Free NCERT Solutions for Class 10 Maths Chapter 12 Ex 12.1 PDF. Areas Related to Circles Class 10 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 12.1 Class 10 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 12 Maths Class 10 Areas Related to Circles Exercise 12.1 provided in NCERT TextBook.

Topics and Sub Topics in Class 10 Maths Chapter 12 Areas Related to Circles:

Section Name Topic Name
12 Areas Related to Circles
12.1 Introduction
12.2 Perimeter And Area Of A Circle – A Review
12.3 Areas Of Sector And Segment Of A Circle
12.4 Areas Of Combinations Of Plane Figures
12.5 Summary
  • Areas Related to Circles Class 10 Ex 12.1
  • प्रश्नावली 12.1 का हल हिंदी में
  • Areas Related to Circles Class 10 Ex 12.2
  • प्रश्नावली 12.2 का हल हिंदी में
  • Areas Related to Circles Class 10 Ex 12.3
  • प्रश्नावली 12.3 का हल हिंदी में
  • Areas Related to Circles Class 10 Extra Questions

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1

Board CBSE
Textbook NCERT
Class Class 10
Subject Maths
Chapter Chapter 12
Chapter Name Areas Related to Circles
Exercise Ex 12.1
Number of Questions Solved 5
Category NCERT Solutions

Ex 12.1 Class 10 Maths Question 1.
The radii of the two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has a circumference equal to the sum of the circumferences of the two circles.
Solution:
Ex 12.1 Class 10 Maths NCERT Solutions PDF Q1

Ex 12.1 Class 10 Maths Question 2.
The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.
Solution:
Exercise 12.1 Class 10 Maths NCERT Solutions PDF Q2

You can also download the free PDF of  Ex 12.1 Class 10 Areas Related to Circles NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation.

Download NCERT Solutions For Class 10 Maths Chapter 12 Areas Related to Circles PDF

Ex 12.1 Class 10 Maths Question 3.
The given figure depicts an archery target marked with its five scoring regions from the center outwards as Gold, Red, Blue, Black, and White.
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 Q3
The diameter of the region representing Gold score is 21 cm and each of the other bands is 10.5 cm wide. Find the area of each of the five scoring regions.
Solution:
Exercise 12.1 Class 10 Maths NCERT Solutions PDF Q3
Exercise 12.1 Class 10 Maths NCERT Solutions PDF Q3.1

Formulae Handbook for Class 10 Maths and Science

Ex 12.1 Class 10 Maths Question 4.
The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?
Solution:
Ch 12 Maths Class 10 NCERT Solutions Ex 12.1 PDF Q4

Ex 12.1 Class 10 Maths Question 5.
Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
(a) 2 units
(b) n units
(c) 4 units
(d) 7 units
Solution:
Ex 12.1 Class 10 Maths NCERT Solutions PDF Q5

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles (Hindi Medium) Ex 12.1

NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1 in English medium NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1 Areas related to circles for 2018-19. NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1 in Hindi medium for cbse and up board. NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1 updated as per new syllabus 2018-19. Class 10 Maths Chapter 12 Exercise 12.1 Areas related to circles Exercise 12.1 updated as per new syllabus 2018-19. Class 10 Maths Chapter 12 Exercise 12.1 NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1

Class 10 Maths Areas Related To Circles Mind Maps

Terms Related To Circle

(i) Chord: A line segment joining any two points on a circle.
(ii) Arc: A piece of a circle between two points on the circle is called an arc.
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 Mind Map 1
The arc less than the semicircular arc is called minor arc and the one greater than the semi-circular arc is called major arc.
(iii) Sector: The portion of a circular region enclosed by two radii and the corresponding arc is called a sector of the circle.
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 Mind Map 2
Sector smaller than the semi-circle is called minor sector and the sector larger than the semi-circle is called major sector.
(iv) Segment: The portion of a circular region enclosed between a chord and the corresponding arc is called a segment of the circle.
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 Mind Map 3
The segment bounded by the chord and the minor arc intercepted by the chord is called minor segment and the segment bounded by the chord and the major arc intercepted by the chord is called major segment.

Circle

The set of all points in a plane which are at a fixed distance from a fixed point in the plane is called circle. The fixed point is called centre and the fixed distance is called radius of the circle

Circumference and Area of a Circle
(i) The circumference of a circle is defined as distance covered by travelling once around a circle and is given by C = 2πr = πd
where r = radius of the circle and d = diameter of the circle.
(ii) The Area of a circle of radius r is given by,
A = \(\pi r^{2}=\frac{\pi}{4} d^{2}\) where, d = diameter of the circle.
(iii) Area of a circular ring:
The area of the circular path or ring is given by the difference of the area of outer circle and the area of inner circle.
Area of circular ring = n(R2 – r2)
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 Mind Map 4

Length of an Arc and Area of Sector

(i) The length of an arc of a sector of an angle 9 is given by,
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 Mind Map 5
(ii) The area of the sector AOB of angle 0 is given by,
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 Mind Map 6
This is the area of minor sector.
∴ area of major sector AOB
= πr2 – Area of a minor sector AOB

Area of Segment

(i) Area of segment APB = Area (sector OAPB) – Area(∆OAB)
This is the area of minor segment.
∴ area of major segment AQB = πr2 – Area of minor segment APB

(ii) If θ is the central angle, then the area of segment APB
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 Mind Map 7

More Resources

  • NCERT Solutions
  • NCERT Solutions for Class 10 Maths
  • NCERT Solutions for Class 10 Science
  • NCERT Solutions for Class 10 Social
  • NCERT Solutions for Class 10 English
  • NCERT Solutions for Class 10 Hindi
  • NCERT Solutions for Class 10 Sanskrit
  • NCERT Solutions for Class 10 Foundation of IT
  • RD Sharma Class 10 Solutions

NCERT Solutions for Class 10 Maths

  1. Chapter 1 Real Numbers
  2. Chapter 2 Polynomials
  3. Chapter 3 Pair of Linear Equations in Two Variables
  4. Chapter 4 Quadratic Equations
  5. Chapter 5 Arithmetic Progressions
  6. Chapter 6 Triangles
  7. Chapter 7 Coordinate Geometry
  8. Chapter 8 Introduction to Trigonometry
  9. Chapter 9 Some Applications of Trigonometry
  10. Chapter 10 Circles
  11. Chapter 11 Constructions
  12. Chapter 12 Areas Related to Circles
  13. Chapter 13 Surface Areas and Volumes
  14. Chapter 14 Statistics
  15. Chapter 15 Probability

We hope the NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1, help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Exercise 12.1, drop a comment below and we will get back to you at the earliest.

  • Words by Length
  • NEET MCQ
  • Factoring Calculator
  • Rational Numbers
  • CGPA Calculator
  • TOP Universities in India
  • TOP Engineering Colleges in India
  • TOP Pharmacy Colleges in India
  • Coding for Kids
  • Math Riddles for Kids with Answers
  • General Knowledge for Kids
  • General Knowledge
  • Scholarships for Students
  • NSP - National Scholarip Portal
  • Class 12 Maths NCERT Solutions
  • Class 11 Maths NCERT Solutions
  • NCERT Solutions for Class 10 Maths
  • NCERT Solutions for Class 9 Maths
  • NCERT Solutions for Class 8 Maths
  • NCERT Solutions for Class 7 Maths
  • NCERT Solutions for Class 6 Maths
  • NCERT Solutions for Class 6 Science
  • NCERT Solutions for Class 7 Science
  • NCERT Solutions for Class 8 Science
  • NCERT Solutions for Class 9 Science
  • NCERT Solutions for Class 10 Science
  • NCERT Solutions for Class 11 Physics
  • NCERT Solutions for Class 11 Chemistry
  • NCERT Solutions for Class 12 Physics
  • NCERT Solutions for Class 12 Chemistry
  • NCERT Solutions for Class 10 Science Chapter 1
  • NCERT Solutions for Class 10 Science Chapter 2
  • Metals and Nonmetals Class 10
  • carbon and its compounds class 10
  • Periodic Classification of Elements Class 10
  • Life Process Class 10
  • NCERT Solutions for Class 10 Science Chapter 7
  • NCERT Solutions for Class 10 Science Chapter 8
  • NCERT Solutions for Class 10 Science Chapter 9
  • NCERT Solutions for Class 10 Science Chapter 10
  • NCERT Solutions for Class 10 Science Chapter 11
  • NCERT Solutions for Class 10 Science Chapter 12
  • NCERT Solutions for Class 10 Science Chapter 13
  • NCERT Solutions for Class 10 Science Chapter 14
  • NCERT Solutions for Class 10 Science Chapter 15
  • NCERT Solutions for Class 10 Science Chapter 16

Free Resources

RD Sharma Class 12 Solutions RD Sharma Class 11
RD Sharma Class 10 RD Sharma Class 9
RD Sharma Class 8 RD Sharma Class 7
CBSE Previous Year Question Papers Class 12 CBSE Previous Year Question Papers Class 10
NCERT Books Maths Formulas
CBSE Sample Papers Vedic Maths
NCERT Library

 

NCERT Solutions

NCERT Solutions for Class 10
NCERT Solutions for Class 9
NCERT Solutions for Class 8
NCERT Solutions for Class 7
NCERT Solutions for Class 6
NCERT Solutions for Class 5
NCERT Solutions for Class 4
NCERT Solutions for Class 3
NCERT Solutions for Class 2
NCERT Solutions for Class 1

Quick Resources

English Grammar Hindi Grammar
Textbook Solutions Maths NCERT Solutions
Science NCERT Solutions Social Science NCERT Solutions
English Solutions Hindi NCERT Solutions
NCERT Exemplar Problems Engineering Entrance Exams
Like us on Facebook Follow us on Twitter
Watch Youtube Videos NCERT Solutions App