A 4.2 M Wide Road Surrounds a Circular Plot Whose Circumference is 176 M. Find the Cost of Paving the Road at Rs 75 M 2. - Mathematics

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Sum

A 4.2 m wide road surrounds a circular plot whose circumference is 176 m. Find the cost of paving the road at Rs 75 m 2

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Solution

Circumference of the plot = 176 m 

Radius of the circuIarplot = 

2πr = 176

r = `176 xx 7/22 xx 1/2`

r = 28 m

Radius of circular plot= 28 m 

Area of circular plot =π r2 

`= 22/7 xx 28 xx 28`

= 2464 m2

Area of circular plot= 2464 m

Radius of circular plot with surrounding road= R = ( 28 + 4.2) m= 32.2 m 

Area of circular plot with surrounding road = π R2 

`= 22/7 xx 32.2 xx 32.2`

= 3258.64 m2

Area of circular plot with surrounding road =3258.64 m2 

Area of road =Area of circular plot with surrounding road- Area of circular plot

= (3258.64 - 2464) m

= 794.64 m2

Area of road = 794.64 m2 

Cost of paving one sq m = Rs. 7 5 

Cost of paving the road =Rs (75 x 794.64) =Rs. 59,598 

Cost of paving the road =Rs. 59,598 

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Chapter 19: Mensuration I - Exercise 19.1

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Frank ICSE Class 10 Mathematics Part 2
Chapter 19 Mensuration I
Exercise 19.1 | Q 15

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