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Easy

Question

# A road 3.5 m wide surrounds a circular park whose circumference is 44 m. Find the cost of paving the road at Rs. 20 per m^{2}

Hint:

### Area of the road is the difference of the areas of two circles

## The correct answer is: Rs. 3850

### It is given that Circumference of the circular park = 44

2 r = 44

2 × r = 44

r = 7 cm

Radius of outer circle

r_{1} = Radius of circular park + Width of the par

= 7 + 3.5 = 10.5 cm

Area of the road = Area of outer circle – Area of inner circle

= (r_{1})^{2} - r^{2 }

= × (10.5)^{2} - × (7)^{2}

= × (10.5 – 7)(10.5 + 7)

= × 3.5 × 17.5

= 192.5 cm^{2}

Cost of paving 1 cm^{2} road = Rs. 20

Cost of paving 192.5 cm^{2} road = Rs. 20 × 192.5

= Rs. 3850

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