a park is in the shape of circle and a person walking on the boundary covers a distance of 440 m in one round . find the diameter of the park and also the cost of covering it with gravel at the rate of 225 per meter square
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Boundary of circle=circumference of circle
Formula for circumference of circle=2πr
According to the question,
2πr=440
πr=220
r=220/π
We know that π=22/7
r=220×7/22
r=70 metres
To find: Diameter
Diameter = 2r = 2×70 = 140 m
To find: Area
Area=πr²=22/7×70=220m²
Rate=225/m²
Cost=225×220=49,500 Rs.
Therefore, answers:
Diameter = 140 metres
Cost=49,500 Rs.
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