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A Square Water Tank Has Its Side Equal to 40m, There Are 4 Semicircular Flower Beds Grassy Plots All Around It. Find the Cost of Turfing the Plot at Rs 1.25/Sq.M - Mathematics

Sum

A square water tank has its side equal to 40m, there are 4 semicircular flower beds grassy plots all around it. Find the cost of turfing the plot at Rs 1.25/sq.m

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Solution

Side of water tank = 40m

Grassy plot is semicircular with radius =`(side)/2=40/2`= 20๐‘š = ๐‘Ÿ

Area of grassy plot = 4(area od semicircular grassy plot with radius 20m)

`= 4 [1/2`(๐‘Ž๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ ๐‘๐‘–๐‘Ÿ๐‘๐‘™๐‘’ ๐‘ค๐‘–๐‘กโ„Ž ๐‘Ÿ๐‘Ž๐‘‘๐‘–๐‘ข๐‘ )]

`= 4 ×1/2× pi(20)^2`

= 2 × 20 × 20 × ๐œ‹ = 800๐œ‹ ๐‘š2.

Cost of turfing 1m2 = Rs. 1.25

Total cost of turfing the grassy plot around tank

= 800๐œ‹ × 1.25

= 1000๐œ‹

= 1000 × 3.14

= Rs. 3140

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