Circle
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Circle
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25 Questions

1. A wheel makes 2000 revolutions in covering a distance of 44 km. Find the radius of the wheel.
2. If the difference between the areas of the circumcircle and incircle of an equilateral triangle is 44 cm2, then the area of the triangle (in cm2, take π=22/7), is,
3. A circle having radius 5.25 cm. Find the area of major sector formed by it's chord AB that makes an angle of 60∘at centre.
4. A sector of 1200, cut out from a circle, has an area of (66/7) sq. cm. Find the radius of the circle.
5. The diameter of the driving wheel of a bus is 140 em. How many revolution, per minute must the wheel make in order to maintain a speed of 66 kmph ?
6. Find the ratio of the areas of the incircle and circumcircle of a square.
7. There are five concentric squares. If the area of the circle inside the smallest square is 77 square units and the distance between the corresponding corners of consecutive squares is 1.5 units, find the difference in the areas of the outermost and innermost square.
8. The diameter of a circular wheel is 7m. How many revolutions will it make in travelling 22km?
9. Two circles with centres A and B and radius 2cm touch each other externally at C. A third circle with centre at C and radius 2cm meets the other two at D and E on the same side of the line AB joining the two centres. Then the area of the quadrilateral ABED will be:
10. Three circles of radius a, b and c touch each other externally. The area of the triangle formed by the three centres is,
11. The maximum area of a circle that can be drawn inside a square of side 14cm is:
12. When increasing the radius of a circle by 1 cm the area of a circle increases by 22 sq.cm. Then what is the diameter of the circle.
13. Ratio between area and circumference of a circle with radius 99 cm is:
14. The area of a circular field is 6.7914 hectares. Find the cost of fencing it at the rate of Rs. 2.20 Per meter.
15. If the perimeter of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively which of the following is true?
16. If the radius of a circle is decreased by 50%, find the percentage decrease in its area.
17. Three circles of radius 5 cm each are bound together by a rubber band as shown in the given figure, Then length of the rubber band (in cm) in stretched condition as shown, will be:
18. Three circles of radius 5.5 cm, 4.5 cm and 3.5 cm touch each other externally. The perimeter of the triangle formed by joining the centres of the circles (in cm) is,
19. The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.40 per metre.
20. If arcs of same length in two circles subtend angles 600 and 750 at their centre, the ratio of their radius will be:
21. ABC is an equilateral triangle of side 2cm. With A, B, C as centre and radius 1 cm three arcs are drawn. The area of the region within the triangle bounded by the three arcs is,
22. Four equal sized maximum circular plates are cut off from a square paper sheet of area 784 sq. cm. The circumference of each plate is:
23. The circumference of a circle is 11 cm. The area of a sector of the circle subtending an angle of 600 at centre is:
24. Find the area of the shaded region given in figure where the radius of the circle is a:
25. The radius of the front wheel of an engine is x cm and that of rear wheel is y cm. To cover the same distance, find the number of times the rear wheel will revolve when the front wheel revolves n times.

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