Area of circle, sector and segment
Rs Aggarwal Class 10 Ex 16A Question 5 Solutions
Exercise 16A
1. The circumference of a circle is 39.6 cm. Find its area.
2. The area of a circle is 98.5 6 cm square. find its circumference.
3. The circumference of a circle exceeds its diameter by 45 cm. find the circumference of the circle.
4. A copper wire when bent in the form of a square encloses an area of 484 cm square. The same wire is now bent in the form of a circle. find the area enclosed by the circle.
5. A wire when bent in the form of an equilateral triangle encloses an area of 121 root 3 cm square. The same wire is bent to form a circle. find the area enclosed by the circle.
6. The length of a chain used as the boundary of a semicircle Park is 108 m. find the area of the park.
7. The sum of the radii of two circles is 7 cm and the difference of their circumferences is 8cm. find circumferences of the circles.
8. Find the area of a ring whose outer and inner radii are respectively 23 cm and 12 cm.
9. (i) A part of 8 m with runs around the outside of a circular Park whose radius is 17 m. find the area of the path.
(ii) A park is of the shape of a circle of radius 7 m. it is surrounded by a path of width of 0.7 m. find the expenditure of cementing the path if its cost is Rs 110 per square metre.
10. A racetrack is in the form of a ring whose inner circumference is 352 m and Outer circumference is 396 m. find the width and the area of the track.
11. A sector is cut from a circle of radius 21 cm. the angle of the sector is 150 degree. find the length of the arc and the area of the sector.
12. A chord PQ of a circle of radius 10 cm subtends an angle of 60 degree at the centre of the circle. find the area of major and minor segments of the circle
13. The length of an arc of circle subtending an angle of 54 degree at the centre is 16.5 cm. calculate the radius, circumference and the area of the circle.
14. The radius of a circle with Centre O is 7 cm. Two radii OA and OB are drawn at right angles to each other. find the areas of minor and major segments.
15. Find the lengths of the Arts cut off from a circle of radius 6 centimetre by a chord 12 cm long. also find the area of the minor segment.
16. A Chord 10 cm long is drawn in a circle whose radius is 5 root 2 cm. find the areas of both the segments.
17. Find the area of both the segments of a circle of radius 42cm with Central angle 120 degree.
18. A chord of a circle of radius 30 cm makes an angle of 60 degree at the centre of the circle find the area of the minor and the major segments.
19. In a circle of radius 10.5 cm the minor Arc is one fifth of the major Arc. find the area of the sector corresponding to the measure Arc.
20. Thee short and long hands of a clock are 4 cm and 6 cm long respectively. find the sum of distances travelled by their tips in two days.
21. find the area of a quadrant of a circle whose circumference is 88cm.
22. A rope by which a cow is tethered is increased from 16 m to 23 m. How much additional ground does it have now to graze?
23. A horse is placed for grazing inside a rectangular field 70 m by 52 m. It is tethered to one corner by a rope 21 m long.On how much area can it graze? How much area is left ungrazed?
24. A horse is tethered to one corner of a field which is in the shape of an equilateral triangle of side 12 m. if the length of the Rope is 7 m, find the area of the field which the horse cannot graze.
25. Four cows are tethered at the four corners of a square field of side 50 m such that it can graze the maximum on shared area. what area will be left ungrazed?
26. In the given figure OPQR is a rhombus, three of whose vertices lie on a circle with Centre O. if the area of the Rhombus is 32 root 3 cm square. find the radius of the circle.
27. The side of a square is 10 cm. Find (i) the area of the inscribed circle, and (ii) the area of the circumscribed circle.
28. If the square is inscribed in a circle, find the ratio of the areas of the circle and the square.
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Rs Aggarwal Class 10 Ex 16A Question 1 Solutions
Rs Aggarwal Class 10 Ex 16A Question 2 Solutions
Rs Aggarwal Class 10 Ex 16 a Question 3 Solutions
Rs Aggarwal Class 10 Ex 16 A Question 4 Solutions
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Rs Aggarwal Class 10 Ex 16A Question 5 Solutions
Exercise 16A
1. The circumference of a circle is 39.6 cm. Find its area.
2. The area of a circle is 98.5 6 cm square. find its circumference.
3. The circumference of a circle exceeds its diameter by 45 cm. find the circumference of the circle.
4. A copper wire when bent in the form of a square encloses an area of 484 cm square. The same wire is now bent in the form of a circle. find the area enclosed by the circle.
5. A wire when bent in the form of an equilateral triangle encloses an area of 121 root 3 cm square. The same wire is bent to form a circle. find the area enclosed by the circle.
6. The length of a chain used as the boundary of a semicircle Park is 108 m. find the area of the park.
7. The sum of the radii of two circles is 7 cm and the difference of their circumferences is 8cm. find circumferences of the circles.
8. Find the area of a ring whose outer and inner radii are respectively 23 cm and 12 cm.
9. (i) A part of 8 m with runs around the outside of a circular Park whose radius is 17 m. find the area of the path.
(ii) A park is of the shape of a circle of radius 7 m. it is surrounded by a path of width of 0.7 m. find the expenditure of cementing the path if its cost is Rs 110 per square metre.
10. A racetrack is in the form of a ring whose inner circumference is 352 m and Outer circumference is 396 m. find the width and the area of the track.
11. A sector is cut from a circle of radius 21 cm. the angle of the sector is 150 degree. find the length of the arc and the area of the sector.
12. A chord PQ of a circle of radius 10 cm subtends an angle of 60 degree at the centre of the circle. find the area of major and minor segments of the circle
13. The length of an arc of circle subtending an angle of 54 degree at the centre is 16.5 cm. calculate the radius, circumference and the area of the circle.
14. The radius of a circle with Centre O is 7 cm. Two radii OA and OB are drawn at right angles to each other. find the areas of minor and major segments.
15. Find the lengths of the Arts cut off from a circle of radius 6 centimetre by a chord 12 cm long. also find the area of the minor segment.
16. A Chord 10 cm long is drawn in a circle whose radius is 5 root 2 cm. find the areas of both the segments.
17. Find the area of both the segments of a circle of radius 42cm with Central angle 120 degree.
18. A chord of a circle of radius 30 cm makes an angle of 60 degree at the centre of the circle find the area of the minor and the major segments.
19. In a circle of radius 10.5 cm the minor Arc is one fifth of the major Arc. find the area of the sector corresponding to the measure Arc.
20. Thee short and long hands of a clock are 4 cm and 6 cm long respectively. find the sum of distances travelled by their tips in two days.
21. find the area of a quadrant of a circle whose circumference is 88cm.
22. A rope by which a cow is tethered is increased from 16 m to 23 m. How much additional ground does it have now to graze?
23. A horse is placed for grazing inside a rectangular field 70 m by 52 m. It is tethered to one corner by a rope 21 m long.On how much area can it graze? How much area is left ungrazed?
24. A horse is tethered to one corner of a field which is in the shape of an equilateral triangle of side 12 m. if the length of the Rope is 7 m, find the area of the field which the horse cannot graze.
25. Four cows are tethered at the four corners of a square field of side 50 m such that it can graze the maximum on shared area. what area will be left ungrazed?
26. In the given figure OPQR is a rhombus, three of whose vertices lie on a circle with Centre O. if the area of the Rhombus is 32 root 3 cm square. find the radius of the circle.
27. The side of a square is 10 cm. Find (i) the area of the inscribed circle, and (ii) the area of the circumscribed circle.
28. If the square is inscribed in a circle, find the ratio of the areas of the circle and the square.
Keywords :
rs aggarwal, class 10, rs aggarwal class 10, rs aggarwal class 10 book pdf, rs aggarwal class Ex 16A, rs aggarwal solution class 10, rs aggarwal class 10 ex 16 a solutions, rs aggarwal class 10 chapter 16 question 4, rs aggarwal class 10, rs aggarwal class 10 ex 16 a q.no. 4 solutions, rs aggarwal class 10 solutions Area related to circles
Rs Aggarwal Class 10 Ex 16A Question 1 Solutions
Rs Aggarwal Class 10 Ex 16A Question 2 Solutions
Rs Aggarwal Class 10 Ex 16 a Question 3 Solutions
Rs Aggarwal Class 10 Ex 16 A Question 4 Solutions
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