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Edited By Ramraj Saini | Updated on Nov 27, 2023 04:59 PM IST

**NCERT Solutions for Exercise 12.1 Class 10 Maths Chapter 12 Areas related to circles **are discussed here. These NCERT solutions are created by subject matter expert at Careers360 considering the **latest syllabus and pattern of CBSE 2023-24**. Class 10 Maths ex 12.1 includes the Introductory part of areas related to circles and the questions related to finding distance between the two circles out of some given conditions which are congruent or not, etc. The Numerical problems present in this introductory exercise is very important to cover in order to get better understanding of concepts. The Class 10 Maths chapter 12 exercise 12.1 lists a few practice problems on, circumference and area of Circle. The class 10th maths chapter 12 exercise 12.1 covers the topics like the concept of finding angles subtended by hour and minute hand in one or n revolutions . Also some properties and technical terms of circles enclosed with some special conditions

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- NCERT Solutions For Class 10 Maths Chapter 12 Exercise 12.1
- Download Free PDF of NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1
- Assess NCERT Solutions for Class 10 Maths chapter 12 exercise 12.1
- More About NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1
- Benefits of NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1
- NCERT Solutions for Class 10 Subject Wise

**10th class Maths exercise 12.1 **answers** **are designed as per the students demand covering comprehensive, step by step solutions of every problem. Practice these questions and answers to command the concepts, boost confidence and in depth understanding of concepts. Students can find all exercise together using the link provided below.

**Areas Related to Circles** ** Class 10 Chapter 12**** Exercise: 12.1 **

**Q1 **The radii of 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.

** Answer: **

Circumference of 1st circle is given :

And the circumference of the 2nd circle is :

Thus the circumference of the new circle is

or

or

Hence the radius of the new circle is 28 cm.

** Answer: **

We know that the area of the circle is :

Thus area of a 1st circle :

or

And the area of a 2nd circle is :

or

According to the question area of the new circle is

or

or

Hence the area of the new circle is 10 cm.

** Answer: **

The radius of each scoring region can be found by adding 10.5 in respective colors.

The area of the golden region is :

Similarly area of the red region is = Area of a red score - Area of the golden region

Then the area of the blue region is :

And the area of the black region is :

Area of the white region is :

** Answer: **

Let the number of revolution of the wheel be n.

The circumference of the wheel is given by:-

Now, the speed of the car is given by:-

Thus distance traveled in 10 minutes is:

According to the question, we get;

or

Hence the number of revolutions made by the wheel is 4372.

(A) 2 units

(B) units

(C) 4 units

(D) 7 units

** Answer: **

Let the radius of the circle be r.

Then according to question, we can write:-

Perimeter = Area

Hence option (A) is correct.

Initially, theory part gets covered in exercise 12.1 Class 10 Maths. The questionnaire starts with basic level present in NCERT solutions for Class 10 Maths chapter 12 exercise 12.1 which is to represent the problems of finding area and perimeter of whole circle, length and area of sector enclosed in portion of it. Questions like find values in real life algebraic problems of car wheel and revolutions of minute and hour hand are also covered in the NCERT book Class 10 Maths chapter 12 exercise 12.1. In NCERT syllabus Class 10 Maths chapter 12 exercise 12.1 there is also coverage of problems of angle subtended by tangents and chords to the circles.

**Also Read| **Areas Related to Circles Class 10 Notes

- The very first benefits are already been mentioned in exercise 12.1 Class 10 Maths and the NCERT solutions for Class 10 Maths chapter 12 exercise 12.1 questions like equilateral triangle rolled around a circle and vertices are over it are discussed in this exercise.
- Second most benefits is like in exercise 12.1 Class 10 Maths there are variety of concepts to understand in problem solving related to real life examples like wheel assembly of car and number of revolutions it is making under given conditions as discussed in Class 10 Maths chapter 12 exercise 12.1
- For Class 10 final exams students may get MCQs, short numericals or long numericals questions from the type covered in the Class 10 Maths chapter 12 exercise 12.1

**Also see-**

1. Define Areas related to circles?

Ans The sectors between two radii and a neighbouring arc. A sector's area and a circle's segment: The sector of the circle is the portion of the circular region of the two radii and the associated arc is majorly called as area of circle.

2. What is the expression of area of segment of circle?

Ans: area of segment of circle = area of corresponding sector – area of corresponding triangle

3. How many total exercise are there in chapter 12 ?

Ans: There are total of 3 exercises there in chapter 12 namely exercise 12.1 exercise 12.2 and exercise 12.3 which have variety of questions to give a brief analysis of topic as well as subject.

4. How many parallel tangents does circle have?

Ans: A circle can have at most two parallel tangents.

5. What is the perimeter and area of unit circle ?

Ans: The radius of unit circle is 1 units

Hence Area = π

Perimeter = 2π

6. Which is the longest chord of circle and its length in terms of radius of circle?

Ans; The longest chord in circle is line segment of diameter and its length = 2*radius of circle

7. What is Areas of Combinations of Plane figures in chapter?

Ans: The majority of this part entails calculating the area of various shapes and patterns utilising a variety of planar figures and polygons. During the exam, the student should concentrate on mastering the formulas for determining the area of fundamental polygons.

Application Date:09 September,2024 - 14 November,2024

Application Date:09 September,2024 - 14 November,2024

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Admit Card Date:13 September,2024 - 07 October,2024

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