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Toggle## Class 10 maths 11.1 NCERT solutions

# NCERT Solutions For Class 10 Maths Chapter 11 Areas Related to Circles Ex-11.1

##### Download the free NCERT Maths Chapter 11 Solutions for Class 10 here Areas Related to Circles in Maths Class 10 NCERT Solutions are a great resource for homework assistance. For class 10 maths 11.1 NCERT solutions Expert Bhautikstudy.com Teachers developed the NCERT Solutions. Complete solutions to all the problems in NCERT Textbook’s Chapter 11 Math Class 10 Areas Related to Circles Exercise 11.1.

Class 10 Maths 11.1 NCERT Solutions Question 1.

**1. Find the area of a sector of a circle with a radius 6 cm if the angle of the sector is 60°.**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 2.

**2. Find the area of a quadrant of a circle whose circumference is 22 cm.**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 3.

**3. The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 4.

**4. A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding:**

**(i) minor segment**

**(ii) major sector. (Use π = 3.14)**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 5.

**5. In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:**

**(i) the length of the arc **

**(ii) area of the sector formed by the arc**

**(iii) area of the segment formed by the corresponding chord**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 6.

**6. A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major segments of the circle. (Use π = 3.14 and √3 = 1.73)**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 7.

**7. A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle. (Use π = 3.14 and √3 = 1.73)**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 8.

**8. A horse is tied to a peg at one corner of a square-shaped grass field of side 15 m by means of a 5 m long rope (see Fig. 12.11). Find**

**(i) the area of that part of the field in which the horse can graze.**

**(ii) the increase in the grazing area if the rope were 10 m long instead of 5 m. (Use π = 3.14)**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 9.

**9. A brooch is made with silver wire in the form of a circle with a diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors, as shown in Fig. 12.12. Find:**

**(i) the total length of the silver wire required.**

**(ii) the area of each sector of the brooch.**

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**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 10.

**10. An umbrella has 8 ribs which are equally spaced (see Fig. 12.13). Assuming the umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 11.

**11. A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades.**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 12.

**12. To warn ships of underwater rocks, a lighthouse spreads a red-coloured light over a sector of angle 80° to a distance of 16.5 km. Find the area of the sea over which the ships are warned.**

**(Use π = 3.14)**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 13.

**13. A round table cover has six equal designs, as shown in Fig. 12.14. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of ₹ 0.35 per cm ^{2}. (Use √3 = 1.7)**

**Solution:**

Class 10 Maths 11.1 NCERT Solutions Question 14.

**14. Tick the correct solution in the following:**

**The area of a sector of angle p (in degrees) of a circle with radius R is**

**(A) p/180 × 2πR **

**(B) p/180 × π R ^{2 }**

**(C) p/360 × 2πR**

**(D) p/720 × 2πR ^{2 }**

**Solution:**

## Maths in Class 10: Area Related to Circles

###### In Class 10 Maths 10.2 NCERT Solutions Students will talk about patterns in terms that come after those that come after by adding a certain number to the terms that came before in this chapter. Additionally, they see how to calculate the sum of n successive terms and the nth term. When students tackle real-world situations, they will successfully understand Area Related to Circles.

#### As a result, these NCERT Solutions for Class 10 Maths will aid students in comprehending various question formats and their responses, in addition to providing important shortcuts and diagrammatic explanations. The Class 10 Maths Chapter 10 PDF NCERT Solutions are all provided in easy-to-understand manner. Students who fully understand these solutions will be able to solve challenging situations with ease.

The teachers have carefully selected the Class 10 NCERT Solutions to help students become more adept at solving problems. Students can consult Bhautik study materials for Circles for a clearer understanding.

##### Chapter 10 of NCERT Class 10 Maths’ Unit 4 Geometry includes a circle. Unit 4 geometry in the class 10 second term exam carries a 22-mark weight. Throughout this unit, there will be four multiple-choice questions worth four marks, one mark for each multiple-choice question, six marks for short answer questions with two questions each, and two long questions worth twelve marks total—six marks for each question here class 10 maths 11.1 ncert solutions play an important role.

## What is the Advantage of Class 10 Maths Class 10 Maths 11.1 NCERT Solutions Provided by Bhautik Study?

Class 10 Maths 11.1 NCERT Solutions uses a number of important components.

It offers answers to all of the exercises’ problems from the NCERT Maths textbook for Class 10.

Make a practice of asking challenging questions to help you demonstrate your understanding of the subjects.

It includes the most recent CBSE syllabus broken down by terms as well as key categories of questions that will be asked throughout the test.

It is quite useful for practicing essential drawings.

helps you to retain key math techniques and formulas.

NCERT Answers, NCERT We supply all of the examples, notes, textbooks, videos, and animations for all of the classes and disciplines. In order to comprehend significant problem kinds from an examination perspective, students can also obtain additional study materials from the CBSE Board.

class 10 maths 11.1 ncert solutions –

What are some of the main points in Chapter 10 of the NCERT Solutions for Maths Class 10?

Answers to all of the problems in the NCERT Class 10 Maths textbook are provided in NCERT Solutions for Class 10 Maths Chapter 10 Circles.

They also allow you to practise answering challenging questions and demonstrate your understanding of the subjects.

Which are the main subjects covered in Chapter 10 of the NCERT Solutions for Class 10 Maths?

NCERT Solutions for Class 10 Maths Chapter 10 covers the following main topics: an introduction to circles; tangents; forming the number of tangents from a point on the circle; and the conclusion of the chapter 10 circle here Class 10 Maths 11.1 NCERT Solutions play an important role.

Class 10 Maths 11.1 NCERT Solutions

It seems like you’re asking about circles in the context of a class 10 mathematics curriculum. In class 10, students typically learn about various properties and concepts related to circles in geometry. Here’s an overview of some of the key topics covered:

Basic Definitions: Students learn what a circle is – a closed curve where all points are equidistant from a fixed point called the center.

Radius and Diameter: The radius of a circle is the distance from the center to any point on the circle. The diameter is the distance across the circle through its center, and it is twice the length of the radius.

Circumference: The circumference of a circle is the total distance around its outer edge. It is calculated using the formula: �=2��C=2πr, where �r is the radius and �π is a constant (approximately 3.14).

Area of a Circle: The area enclosed by a circle is calculated using the formula: �=��2A=πr2, where �r is the radius.

Arcs and Angles: Circles are divided into arcs, which are portions of the circumference. Students learn about central angles, inscribed angles, and their relationship to arcs and the circle.

Sector of a Circle: A sector is a region bounded by an arc and two radii. Students learn how to calculate the area and perimeter of sectors.

Tangents and Secants: Tangents are lines that touch the circle at only one point, while secants intersect the circle at two points. Students learn about the properties and relationships between tangents, secants, and the circle.

Cyclic Quadrilaterals: Quadrilaterals inscribed in a circle are called cyclic quadrilaterals. Class 10 students may learn about their properties and how to solve problems involving them.

Theorems: Class 10 students may encounter and prove theorems related to circles, such as the properties of tangents drawn to a circle from an external point, angles in the same segment, and alternate segment theorem.

Understanding these concepts helps students develop a solid foundation in geometry and lays the groundwork for more advanced topics in mathematics here Class 10 Maths 11.1 NCERT Solutions play an important role.