1. A wheel makes 4000 revolutions in moving a distance of 44 km. Find the radius of the wheel.
2. If the area of a semi-circle be 77 sq m, find its perimeter.
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3. The area of a sector of a circle of radius 36 cm is 72πcm2. The length of the corresponding arc of the sector is
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4. If the radius of a circle is increased by 6%, find the percentage increase in its area.
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5. The area of a sector of a circle is 77 sq cm and the angle of the sector is 45°. Find the radius of the circle.
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6. The ratio of the areas of the circumcircle and the incircle of a square is
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7. The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the circle.
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8. Find the length of a rope by which a cow must be tethered in order that may be able to graze an area of 154 sq m.
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9. What is the area of the larger segment of circle formed by a chord of, length 5 cm subtending an angle of 90° at the centre?
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10. A man riding a bicycle, completes one lap of a circular field along its circumference at the speed of 14.4 km/h in 1 min 28 s. What is the area of the field ?
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11. A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30m/min, then the radius of the circular ground is (take π = 22/7)
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12. What is the total area of three equilateral triangles inscribed in a semi-circle of radius 2cm ?
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13. How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?
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14. What is the area of a circle whose area is equal to that of a triangle with sides 7 cm, 24 cm and 25 cm ?
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15. A circle of radius 10 cm has an equilateral triangle inscribed in it. The length of the perpendicular drawn from the centre to any side of the triangle is
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