81.Two circles touch internally the sum of their areas is 116π cm2 and distance between their centres is 6 cm. Find the radii of the circles.
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82.The inside perimeter of a running track, as shown in fig. is 340 m. The length of each straight portion is 60 m and the curved portions are semicircle. If the track is 7 m wide, find the area of the track. Also, find the outer perimeter of the track.
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83.The area of an equilateral triangle is Taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle as shown in fig. Find the area of the triangle not included in the circle.
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84.Find the area of the shaded region of Fig. 12.64, if the diameter of the circle with centre O is 28 cm and AQ =
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85.In Mr. Kumar's house there is a flower pot. The sum of radii of circular top and bottom of flower pot is 140 cm and the differences of their circumference is 88 cm. Find the diameter of the circular top and bottom.
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86.Abhishek Singh has a tractor. The sum of radii of two wheels of the tractor is 98 cm and the difference of their circumferences is 176 cm. Find the diameter of the wheel.
87.The wheels of the car are 80 cm in diameter. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 80 cm/m.
5303
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88.
A wheel of diameter 42 cm makes 240 rounds per minute. Find
(i) The total distance covered by the wheel in one minute. (ii) The speed of the wheel in km/hr.)
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89.A square of side 4 cm is inscribed in a circle. Find the area enclosed between the circle and the square.
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90.A circular grassy land has perimeter of 660 m. A plot in the shape of a square having its vertices on the circumference of the field is marked in the field. Calculate the area of the square field.