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A square tank has an area of 1600 cm2. There are four semicircular plots around it. Find the cost of turfing the plots at Rs 12.50 per m2 - Mathematics

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Question

A square tank has an area of 1600 cm2. There are four semicircular plots around it. Find the cost of turfing the plots at Rs 12.50 per m

Sum

Solution

Let a m be the side of the square.

Area of the square

= a

Thus, we have :

a2 = 1600 

⇒ a = 40

Area of the plots = 4(Area of the semicircle of radius 20 m)

`=|4(1/2pi"r"^2)"m"^2|`

`=|4(1/2xx3.14xx20xx20)|"m"^2`

= 2512 m2

∴ Cost of turfing plots at 12.50 per m= Rs (2512 × 12.50)

= Rs 31400

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Chapter 18: Area of Circle, Sector and Segment - Formative Assessment [Page 854]

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RS Aggarwal Mathematics [English] Class 10
Chapter 18 Area of Circle, Sector and Segment
Formative Assessment | Q 20 | Page 854

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