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
- Areas Related to Circles Class 10 Ex 12.2
- Areas Related to Circles Class 10 Ex 12.3
- Extra Questions for Class 10 Maths Areas Related to Circles

## 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 |

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:

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:

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

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.

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:

Formulae Handbook for Class 10 Maths and Science

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:

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:

### 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.

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.

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.

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 = 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(R^{2} – r^{2})

#### Length of an Arc and Area of Sector

(i) The length of an arc of a sector of an angle 9 is given by,

(ii) The area of the sector AOB of angle 0 is given by,

This is the area of minor sector.

∴ area of major sector AOB

= πr^{2} – 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 = πr^{2} – Area of minor segment APB

(ii) If θ is the central angle, then the area of segment APB

**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

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

J md Shujauddin says

November 25, 2018 at 10:18 pmThey teach very good and I can understand the problems but there is no diagram each and every sum so please ensure it

Shreyansh says

January 2, 2019 at 3:39 pmIts good

simran says

February 3, 2019 at 5:23 pmIt really helped me a lot.I would suggest my friends to go through it..