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Question

The radius of a wheel is 21 cm. What is the distance (in cm) travelled by the wheel in 20 revolutions?

The correct answer is

2640 cm

For rolling without slipping, distance equals revolutions × circumference. Using π = 22/7, \(D=20(2\pi r)=20(2)(22/7)(21)=2640\ \mathrm{cm}\).

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Important Questions from Plane Figures

  1. A rectangular grassy plot is 38 m long and 32 m wide. It has a gravel path of uniform width on the inside having an area of $600 \text{ m}^2$. The width of the path is:
  2. A river, 2 m deep and 45 m wide is flowing at the speed of 3 km per hour. The quantity of water that runs into the sea per minute is:
  3. A regular hexagonal garden with each side measuring 14 metres is surrounded by a circular jogging track that has a radius of 21 metres from the centre of the hexagon. Find the sum of the perimeters of both shapes.
    (Use $\pi = \frac{22}{7}$)

  4. If a circle and a square have the same perimeter, then
  5. What is the area of this parallelogram in sq.cm.? The measurements are in cms.

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