by Tiwari Academy
NCERT Solutions for Class 10 Maths Chapter 11 Exercise 11.1 Areas Related to Circles in Hindi and English Medium updated for session 2024-25. The questions of ex. 11.1 class 10 Maths are solved using simple steps, explaining the concepts behind them.
Class 10 Maths Exercise 11.1 Solutions
Class 10 Maths Exercise 11.1 in Hindi Medium
Class 10 Maths NCERT Book Download
Class 10th Maths Chapter 11 Solutions
Class 10 Maths NCERT Solutions
Class 10 all Subjects NCERT Solutions
The exercise 11.1 in Class 10 Maths Chapter 11, Area Related to Circles, primarily focuses on applying formulas to calculate areas of sectors, segments and related regions of a circle. To prepare for this exercise in exams, students should first ensure they understand key concepts like sectors, segments, chords, and arcs. Practicing basic problems involving the formulas for the area of a sector 𝜃/360 × 𝜋𝑟² and the length of an arc 𝜃/360 × 2𝜋𝑟 is essential. They should also practice breaking down problems step-by-step, starting from identifying the sector or segment and then applying the correct formula.
Students should focus on solving different types of problems, including those involving chords and triangles formed within circles. For example, problems where a chord subtends an angle at the center or finding areas of sectors and segments. It is important to practice calculations involving both minor and major sectors and segments, as well as using values of 𝜋 and special angles like 30°, 60°, 90°, etc., which are common in exam questions. Consistent practice will help in improving speed and accuracy.
Class 10 Maths Exercise 11.1 Questions in Detail
- Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.
- Find the area of a quadrant of a circle whose circumference is 22 cm.
- The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
- 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.
- 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.
- 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.
- 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.
- 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. 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.
- A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors. Find (i) the total length of the silver wire required. (ii) the area of each sector of the brooch.
- An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.
- 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.
- To warn ships for 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.
- A round table cover has six equal designs. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of ₹0.35 per cm².
| Class: 10 | Maths Solutions |
| Chapter: 11 | Areas Related to Circles |
| Medium: | English and Hindi Medium |
| Contents: | Exercise 11.1 |
| Content Format: | Videos, Images and PDF format |
| Session: | CBSE 2024-25 |
NCERT Solutions for Class 10 Maths Exercise 11.1 Solutions
Class 10 Maths Exercise 11.1 Areas Related to Circles in Hindi Medium and English Medium free PDF file download or View in Video Format updated for new academic session 2024-25. All the NCERT Solutions and CBSE Offline Apps have been updated for CBSE exams. Download UP Board Solutions in Hindi Medium for class 10 Maths Chapter 11 here. Join the discussion forum if you want to ask questions with our experts or with other users on this website. UP Board students also take the benefits of these solutions.
10 Maths Chapter 11 Exercise 11.1 Solutions
NCERT Solutions for Class 10 Maths Chapter 11 Exercise 11.1 Areas Related to Circles in English & Hindi medium free for all DOWNLOAD or STUDY ONLINE. NCERT Solutions 2024-25 are for all the students of different boards (CBSE, MP Board, UP Board, Bihar Board, NIOS, Uttarakhand and others), whose study material is related to NCERT Books 2024-25. For any difficulty, please call us, we will try to rectify your inconvenience.
About 10 Maths Exercise 11.1
In Exercise 11.1, the questions are based on area of sectors as well as area of segments. Quadrant is a sector with central angle 90. If it is mention that the area of segment is to find, then we have to find area of minor segment. In Question 3, first we have to find angle formed in 5 minutes by minute hand and then apply the formula of area of sector. The exercise 11.1 is quite easy to understand and solve.
Area of a Segment
To obtain the area of segment, first of all find the area of sector and then area of triangle formed on the chord of sector. Subtracting the area of triangle from area of sector, we will obtain the area of minor segment. If we subtract this area from the area of circle, the area of major segment can be obtained. Area of segment can be determined with a direct formula, but direct formula is not valid for CBSE Class x.
Download NCERT Books 2024-25 and Offline Solutions Apps 2024-25 based on new CBSE Syllabus. Ask your doubts related to NIOS, UP Board or CBSE Board and share your knowledge with your friends and other users through Discussion Forum.
What do students achieve after completing exercise 11.1 of 10th mathematics?
After completing exercise 11.1 of class 10th mathematics chapter 11 (Areas Related to Circles), students can easily find area of a sector (Minor and Major Sector) of a circle, area of segment (Minor and Major Segment) of a circle and length of an arc of a sector of a circle.
In which questions of exercise 11.1 of 10th Maths, students face difficulty while solving?
While solving example 3 and Questions 3, 7, 9, 10 and 13 of exercise 11.1 of class 10th math students face difficulty because these questions are little tough as compare to other questions of this exercise and need proper attention while solving.
Which questions are easy questions in exercise 11.1 of 10th Maths?
Questions 1, 2, 4, 5, 6, 8, 11, 12, 14 and example 2 of exercise 11.1 class 10 math are easy as compare to other questions and examples of this exercise. Also these are the favourite questions of students because these questions are easy to understand and students do these questions without any difficulty.
How long it need to complete exercise 11.1 (chapter 11) of class 10th mathematics?
Students need maximum 4 days to complete exercise 11.1 (chapter 11) of class 10th mathematics if they are giving at least 1-2 hour per day to this exercise. This time also depends on student’s speed, efficiency, capability and many other factors.
