Math, asked by teju74, 1 year ago

Find the cost of paving the circular path of width 7m around a circular lawn of radius 49 m at the rate of Rs.20 per sq.. m.

Answers

Answered by Kshitijydv
8
Area of circular lawn=πr²=>22/7×49²=>7546

Area of path=49+7=>56m

Area of path=>πr²=>22/7×56²
==>9856


Cost=(Area of path-Area of circular lawn)×20

=(9856-7546)×20
=2310×20=>rs.46200


teju74: Select one:

a. Rs.23,100 .

b. Rs.46,200

c. Rs.18,480

d. Rs.36,060
teju74: these are the options given
Answered by Anonymous
9
hiii!!!

here's ur answer...

given the radius of the circular lawn is 49m.

area of the circular lawn = πr²

= 22/7 × 49 × 49

= 22 × 7 × 49

= 7546m²

ATQ,

7m wide path is constructed around the circular lawn.

radius of the circular lawn along with the path = 49 + 7 = 56m

area of the circular lawn along with the path = πr²

= 22/7 × 56 × 56

= 22 × 8 × 56

= 9856m²

therefore area of the path = 9856 - 7546

= 2310m²

total cost of paving the path at the rate of ₹20 per m² = 2310 × 20

= ₹46200

hope this helps..!!
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