Find the best tutors and institutes for Class 10 Tuition
Areas Related to Circles EXERCISE 11.1 Solutions
- Q1: Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
- Q10: An umbrella has 8 ribs which are equally spaced (see Fig. 11.10). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
- Q11: 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. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
- Q12: 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. (Use $\pi = 3.14$)
- Q13: A round table cover has six equal designs as shown in Fig. 11.11. 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 $\sqrt{3} = 1.7$)
- Q14: Tick the correct answer in the following : Area of a sector of angle $p$ (in degrees) of a circle with radius $R$ is
- Q2: Find the area of a quadrant of a circle whose circumference is 22 cm. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
- Q3: The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
- Q4(i): 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 (Use $\pi = 3.14$)
- Q4(ii): A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding : (ii) major sector. (Use $\pi = 3.14$)
- Q5(i): In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find: (i) the length of the arc (Unless stated otherwise, use $\pi = \frac{22}{7}$)
- Q5(ii): In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find: (ii) area of the sector formed by the arc (Unless stated otherwise, use $\pi = \frac{22}{7}$)
- Q5(iii): In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find: (iii) area of the segment formed by the corresponding chord (Unless stated otherwise, use $\pi = \frac{22}{7}$)
- Q6: 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 $\pi = 3.14$ and $\sqrt{3} = 1.73$)
- Q7: 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 $\pi = 3.14$ and $\sqrt{3} = 1.73$)
- Q8(i): 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. 11.8). Find (i) the area of that part of the field in which the horse can graze. (Use $\pi = 3.14$)
- Q8(ii): 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. 11.8). Find (ii) the increase in the grazing area if the rope were 10 m long instead of 5 m. (Use $\pi = 3.14$)
- Q9(i): 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 Fig. 11.9. Find : (i) the total length of the silver wire required. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
- Q9(ii): 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 Fig. 11.9. Find : (ii) the area of each sector of the brooch. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
Chapters in CBSE - Class 10 Mathematics
Top Tutors who teach Areas Related to Circles
Top Tutor 
Sector-16, Faridabad 
1 yrs of Exp 
4 students 
532 hrs of classes completed 
400 per hour 
Online Classes 
Student's Home 
Tutor's home I have taught my two sons when they were in class 10. They manged to clear the IIT JEE exam in 1st attempt. I teach by example, which helps the students to visualize the concepts and ideas. I believe in participative learning where the student also gives their viewpoints. This is how they start enjoying the subject and their performance level increases automatically.
Shankar Vihar, Delhi 18 yrs of Exp Student's Home We are teaching 8th, 9th,10th,11th,12th for the last 12 years and providing 95%+ in our subjects. We are giving best results in DELHI CANTT and South Delhi region.
Top Tutor Mahipalpur, Delhi 14 yrs of Exp Student's Home As an experienced teacher for nine years, I have been teaching to make students interested in the subjects of Maths. My attitude is to help children improve in studies in the best possible way.
Top Tutor Kothanur, Bangalore 17 yrs of Exp 18 students 552 hrs of classes completed 700 per hour Student's Home I am a Math and Hindi teacher with Aadya Academy, The World School Bangalore.I worked as a math and Hindi teacher with The Landmark school Rampura Bangalore for grades 7 to 10 for the last three years.I am an experienced, qualified teacher and tutor with over 17 years of experience in teaching Math and Hindi across different boards including CBSE, ICSE, and IGCSE for grade 7 to 12. I have 5 years of teaching experience with U. K based online company named FIRSTRING for GCSE, Edexcel and National curriculum of ENGLAND Syllabus . I am passionate about solving mathematical problems and helping students to understand easily. Over the years I have helped thousands of students overcome their fear of Math and Hindi Language.
Classes were good and no concerns. I took for 20th standard, one on one classes for subject mathematics.
Super Tutor Saheed Nagar, Bhubaneswar 11 yrs of Exp 30 students 537 hrs of classes completed 599 per hour Online Classes ▪️Class 10 Board Specialist ▪️IGCSE / IB / CBSE / ICSE / Focus ▪️Syllabus-Aligned Teaching ▪️Concept Clarity First ▪️Exam-Oriented Preparation ▪️Board Pattern Mastery ▪️Previous Year Questions Practice ▪️Structured Lesson Planning ▪️Step-by-Step Problem Solving ▪️Time Management Training ▪️Weekly Tests & Mock Exams ▪️Performance Tracking ▪️Targeted Weak Area Support ▪️Answer Writing Techniques ▪️Regular Parent Updates ▪️Result-Driven Approach
Very interactive. The way sir explained with otes and figures are very eazy to understand. I am sure i will learn a lot from sir.
Find more Tutor for Areas Related to Circles in your City
- Bangalore Mathematics Tutors
- Delhi Mathematics Tutors
- Chennai Mathematics Tutors
- Gurgaon Mathematics Tutors
- Noida Mathematics Tutors
- Hyderabad Mathematics Tutors
- Mumbai Mathematics Tutors
- Chandigarh Mathematics Tutors
- Pune Mathematics Tutors
- Ghaziabad Mathematics Tutors
- Jaipur Mathematics Tutors
- Surat Mathematics Tutors
Download free CBSE - Class 10 Mathematics Areas Related to Circles EXERCISE 11.1 worksheets
Download Now
