A running track has 2 semicircular ends of radius 63 m and two
straight lengths. The perimeter of the track is 1000 m. Find each
straight length.
There is a circular pond and a footpath runs along its boundary.
A person walks around it, exactly once keeping close to the edge. If
his step is 66 cm long and he takes exactly 400 steps to go around
the pond, find the diameter of the pond
The areas of two circles are in the ratio 49:64. Find the ratio of their
circumferences.
Mukesh walks around a circular track of radius 14 m with a speed
of 4 km/hr. If he takes 20 rounds of the track, for how long does he
walk?
The area of a trapezium with equal non-parallel sides is 168 m2. If
the lengths of the parallel sides are 36 m and 20 m, find the length
of the non-parallel sides.
The walls and ceiling of a room are to be plastered. The length,
breadth and height of the room are 4.5 m, 3 m, and 350 cm
respectively. Find the cost of plastering at the rate of Rs 8 per m2.
Four horses are tethered with equal ropes at 4 corners of a square
field of side 70 metres so that they just can reach one another. Find
the area left ungrazed by the horses
The circumference of the front wheel of a cart is 3 m long and that
of the back wheel is 4 m long. What is the distance travelled by the
cart, when the front wheel makes five more revolutions than the rear
wheel?
In question, state whether the statement are true (T) or false (F).
Ratio of area of a circle to the area of a square whose side equals
radius of circle is 1 : π.
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