Advertisements
Online Mock Tests
Chapters
2: Polynomials
3: Pair of Linear Equations in Two Variables
4: Quadratic Equations
5: Arithmetic Progressions
6: Triangles
7: Coordinate Geometry
8: Introduction to Trigonometry
9: Some Applications of Trigonometry
10: Circles
▶ 11: Areas Related to Circles
12: Surface Areas and Volumes
13: Statistics
14: Probability
![NCERT solutions for Mathematics [English] Class 10 chapter 11 - Areas Related to Circles - Shaalaa.com](/images/mathematics-english-class-10_6:d0d325cb7c8b4eec9c122c10141a5707.jpg "NCERT solutions for Mathematics [English] Class 10 chapter 11 - Areas Related to Circles")
Advertisements
Solutions for Chapter 11: Areas Related to Circles
Below listed, you can find solutions for Chapter 11 of CBSE, Karnataka Board NCERT for Mathematics [English] Class 10.
NCERT solutions for Mathematics [English] Class 10 11 Areas Related to Circles EXERCISE 11.1 [Pages 158 - 159]
Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60° [Use `pi = 22/7`]
Find the area of a quadrant of a circle whose circumference is 22 cm. [Use `pi = 22/7`]
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. [Use `pi = 22/7`]
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the minor segment. [Use π = 3.14.]
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding:
Major sector [Use π = 3.14]
In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find the length of the arc. (Use π = `22/7`)
In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find the area of the sector formed by the arc. (Use π = `22/7`)
In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find the area of the segment formed by the corresponding chord. (Use π = `22/7`)
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 `sqrt3 = 1.73`]
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 `sqrt3 = 1.73` ]
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 the given figure). Find
- The area of that part of the field in which the horse can graze.
- The increase in the grazing area of the rope were 10 m long instead of 5 m. [Use π = 3.14]
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 as shown in figure. Find.
- The total length of the silver wire required.
- The area of each sector of the brooch [Use π = `22/7`]
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 blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades [Use π = `22/7`]
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 warned. [Use π = 3.14]
A round table cover has six equal designs, as shown in figure. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs.0.35 per cm2. [Use `sqrt3 = 1.7`]
Tick the correct answer in the following:
Area of a sector of angle p (in degrees) of a circle with radius R is ______.
`p/180 xx 2piR`
`p/180 xxpiR^2`
`p/360 xx 2piR`
`p/720 xx 2 pi R^2`
Solutions for 11: Areas Related to Circles
NCERT solutions for Mathematics [English] Class 10 chapter 11 - Areas Related to Circles
Shaalaa.com has the CBSE, Karnataka Board Mathematics Mathematics [English] Class 10 CBSE, Karnataka Board solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 10 CBSE, Karnataka Board 11 (Areas Related to Circles) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics [English] Class 10 chapter 11 Areas Related to Circles are Areas of Combinations of Plane Figures, Circumference of a Circle, Perimeter and Area of a Circle - A Review, Areas of Sector and Segment of a Circle, Area of Circle, Areas of Combinations of Plane Figures, Circumference of a Circle, Perimeter and Area of a Circle - A Review, Areas of Sector and Segment of a Circle, Area of Circle, Areas of Combinations of Plane Figures, Circumference of a Circle, Perimeter and Area of a Circle - A Review, Areas of Sector and Segment of a Circle, Area of Circle.
Using NCERT Mathematics [English] Class 10 solutions Areas Related to Circles exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE, Karnataka Board Mathematics [English] Class 10 students prefer NCERT Textbook Solutions to score more in exams.
Get the free view of Chapter 11, Areas Related to Circles Mathematics [English] Class 10 additional questions for Mathematics Mathematics [English] Class 10 CBSE, Karnataka Board, and you can use Shaalaa.com to keep it handy for your exam preparation.
