Area of Circle, Sector and Segment

Deepak sir 9811291604

Area of Circle, Sector and Segment

Area of Circle, Sector and Segment

1|Page

maths

class x

Deepak sir 9811291604

Area of Circle, Sector and Segment

1. Find the circumference and area of a circle of radius 10.5 cm. 2. Find the area of a circle whose circumference is 52.8 cm. 3. Afield is in the form of a circle. The cost of ploughing the field at Rs 1.50 per m2 is Rs 5775. Find the cost of fencing

the field at Rs 8.50 per metre. 4. A steel wire, when bent in the form of a square, encloses an area of 121 sq cm. The same wire is bent, in the form

of a circle. Find the area of the circle. 5. A wire is looped in the form of a circle of radius 28 cm. It is rebent into a square form. Determine the length of the

side of the square. 6. A circular park. 42 m in diameter, has a path 3.5 m wide running round it. on the outside. Find the cost, of

gravelling the. path at Rs 4 per m 2 7. A road which is 7 m wide surrounds a circular park whose circumference is 352 m. Find the area of the road. 8. A racetrack is in the form, of a ring whose inner and outer circumferences are 437 m and 503 m respectively. Find

the width of the track and also its area. 9. If the. perimeter of a semicircular protractor is 36 cm, find its diameter. 10. A bicycle wheel makes 5000 revolutions in moving 11 km. Find the diameter of the wheel. 11. The diameter of the wheels of a bus is 140 cm. How many revolutions per- minute must a wheel make in order to

move at a speed of 66 km per hour? 12. Two circles touch externally. The sum of their areas is 1 Hire sq cm and the distance between their centres is 14

cm. Find the radii of the circles. 13. Two circles touch internally. The sum of their areas is (116n:) cm2 and the distance betiveen their centres is 6 cm.

Find the radii of the circles.

q 12

q13

q14

q15

14. A paper is in the.form of a rectangle ABCD in Whieh AB =1 8 c m and BC= 1 4 c m . A semicircular portion with BC

as diameter is cut off. Find the area of the remaining paper.

15. The radius of the circle is 3 m. What is the circumference of another circle, whose area is 49 times that of the

first?132 m2

16. Two circles touch externally. The sum of their areas is 130 sq. cm and the distance between their centres is 14

cm. Find the radii of the circles. 11cm and 3 cm

2|Page

maths

class x

Deepak sir 9811291604

Area of Circle, Sector and Segment

17. A wire when bent in the form of an equilateral triangle encloses an area of 121 3 cm2 . If the same wire is bent in the form of a circle, find the area of the circle. 346.5

18. The area enclosed between the two concentric circles is 770 cm2. If the radius of the outer circle is 21 cm, calculate the radius of the inner circle.14

19. A wheel of diameter 42 cm, makes 240 revolutions per minute. Find : (i) the total distance covered by The wheel in one minute. (ii) the speed of the wheel in km/hr. 316.8m and 19.008 km/h

20. An arc of length 20 cm subtends an angle of 144? at the centre of the circle. Find radius of circle.25cm 21. The perimeter of a sector of a circle of radius 5.7 m is 27.2 m. Find the area of the sector. 45.03 m2 22. In the given figure, the length of the minor arc is 7/24 of the circumference of the circle. Find : (i) ................
................

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