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A flower bed in the shape of a sector of...

A flower bed in the shape of a sector of radius 40m and `/_AOB = 60^@`. Also a 15 m wide concrete track is made. However flower bed is made at Rs 2.40 per `m^2` and track is made at Rs 20 per `m^2`. Find the total amount spent on construction.

Text Solution

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Area of flower bed=`pir^2theta/360`
`3.14(40)^2*60/360`
`1600*1/6m^2`
Area of track=`(pi(40)^2-pi(25)^2)*300/360`
`[1600pi-625pi]5/6`
`=2551.25m^2`
Cost=`255125*20+1600*1/6*2.4=51665Rs`
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